Op-Eds and Blog Posts
The 3 Most Confusing Things Your Math Teacher Ever Told You, Huffington Post, Dec. 13, 2012.
New York Times series and Op-Eds:
Me, Myself and Math. The New York Times, Opinionator blog (Fall 2012).
Singular Sensations (Sep 10, 2012)
Friends You Can Count On (Sep 17, 2012)
Proportion Control (Sep 24, 2012)
It’s My Birthday Too, Yeah (Oct 1, 2012)
Dangerous Intersection (Oct 8, 2012)
Visualizing Vastness (Oct 15, 2012)
Steven Strogatz on the elements of math. The New York Times, Opinionator blog (Spring 2010).
The Hilbert Hotel (May 9, 2010)
Group Think (May 2, 2010)
Chances Are (April 25, 2010)
It Slices, It Dices (April 18, 2010)
Change We Can Believe In (April 11, 2010)
Take It to the Limit (April 4, 2010)
Power Tools (March 28, 2010)
Think Globally (March 21, 2010)
Square Dancing (March 14, 2010)
Finding Your Roots (March 7, 2010)
The Joy of X (Feb. 28, 2010)
Division and Its Discontents (Feb. 21, 2010)
The Enemy of My Enemy (Feb. 14, 2010)
Rock Groups (Feb. 7, 2010)
From Fish to Infinity (Jan. 31, 2010)
Like water for money. The New York Times, Wild Side guest column (June 2, 2009).
Loves me, loves me not (Do the math). The New York Times, Wild Side guest column (May 26, 2009).
Math and the city. The New York Times, Wild Side guest column (May 19, 2009).
A journey to baseball’s alternate universe. (with Sam Arbesman) The New York Times, Op-Ed page (March 30, 2008).
How the blackout came to life. The New York Times, Op-Ed page (August 25, 2003).
The real scientific hero of 1953. The New York Times, Op-Ed page (March 4, 2003).
New York Times series and Op-Eds:
Me, Myself and Math. The New York Times, Opinionator blog (Fall 2012).
Singular Sensations (Sep 10, 2012)
Friends You Can Count On (Sep 17, 2012)
Proportion Control (Sep 24, 2012)
It’s My Birthday Too, Yeah (Oct 1, 2012)
Dangerous Intersection (Oct 8, 2012)
Visualizing Vastness (Oct 15, 2012)
Steven Strogatz on the elements of math. The New York Times, Opinionator blog (Spring 2010).
The Hilbert Hotel (May 9, 2010)
Group Think (May 2, 2010)
Chances Are (April 25, 2010)
It Slices, It Dices (April 18, 2010)
Change We Can Believe In (April 11, 2010)
Take It to the Limit (April 4, 2010)
Power Tools (March 28, 2010)
Think Globally (March 21, 2010)
Square Dancing (March 14, 2010)
Finding Your Roots (March 7, 2010)
The Joy of X (Feb. 28, 2010)
Division and Its Discontents (Feb. 21, 2010)
The Enemy of My Enemy (Feb. 14, 2010)
Rock Groups (Feb. 7, 2010)
From Fish to Infinity (Jan. 31, 2010)
Like water for money. The New York Times, Wild Side guest column (June 2, 2009).
Loves me, loves me not (Do the math). The New York Times, Wild Side guest column (May 26, 2009).
Math and the city. The New York Times, Wild Side guest column (May 19, 2009).
A journey to baseball’s alternate universe. (with Sam Arbesman) The New York Times, Op-Ed page (March 30, 2008).
How the blackout came to life. The New York Times, Op-Ed page (August 25, 2003).
The real scientific hero of 1953. The New York Times, Op-Ed page (March 4, 2003).
Book chapters
Fermi’s ‘little discovery’ and the future of chaos and complexity theory. In: The Next Fifty Years: Science in the First Half of the Twenty-First Century (edited by John Brockman, Vintage Books, New York, 2002).
The math of the real world. In: Curious Minds: How a Child Becomes a Scientist (edited by John Brockman, Pantheon Books, New York, 2004).
A walk down Mercer Street. In: My Einstein: Essays by Twenty-four of the World’s Leading Thinkers on the Man, His Work, and His Legacy (edited by John Brockman, Pantheon Books, New York, 2006).
The end of insight. In: What is Your Dangerous Idea? Today's Leading Thinkers on the Unthinkable (edited by John Brockman, Harper Perennial, New York, 2007), pp.130-131.
Understanding sleep. In: What Are You Optimistic About? Today’s Leading Thinkers on Why Things are Good and Getting Better (edited by John Brockman, Harper Perennial, New York, 2007), pp. 337-339.
The math of the real world. In: Curious Minds: How a Child Becomes a Scientist (edited by John Brockman, Pantheon Books, New York, 2004).
A walk down Mercer Street. In: My Einstein: Essays by Twenty-four of the World’s Leading Thinkers on the Man, His Work, and His Legacy (edited by John Brockman, Pantheon Books, New York, 2006).
The end of insight. In: What is Your Dangerous Idea? Today's Leading Thinkers on the Unthinkable (edited by John Brockman, Harper Perennial, New York, 2007), pp.130-131.
Understanding sleep. In: What Are You Optimistic About? Today’s Leading Thinkers on Why Things are Good and Getting Better (edited by John Brockman, Harper Perennial, New York, 2007), pp. 337-339.
Google Scholar Citations Profile
Scientific Publications (grouped by topic - see below for chronological)
Networks
D.J. Watts and S.H. Strogatz. Collective dynamics of 'small-world' networks. Nature 393, 440-442 (1998).
D.S. Callaway, M.E.J. Newman, S.H. Strogatz, and D.J. Watts. Network robustness and fragility: Percolation on random graphs. Physical Review Letters 85, 5468-5471 (2000).
S.H. Strogatz. Exploring complex networks. (Invited Insight article) Nature 410, 268-276 (2001).
M.E.J. Newman, S.H. Strogatz, and D.J. Watts. Random graphs with arbitrary degree distribution and their applications. Physical Review E 6402 (2): 6118-+ (2001).
D.S. Callaway, J.E. Hopcroft, J.M. Kleinberg, M.E.J. Newman, and S.H. Strogatz. Are randomly grown graphs really random? Physical Review E 6404 (4): 1902-+ (2001).
M.E.J. Newman, D.J. Watts, and S.H. Strogatz. Random graph models of social networks. Proceedings of the National Academy of Sciences USA 99, 2566-2572 (2002).
S. Arbesman, S.H. Strogatz and M.S. Vitevitch. Comparative analysis of networks of phonologically similar words in English and Spanish. Entropy 12, 327-337 (2010).
S. Arbesman, S.H. Strogatz and M.S. Vitevitch. The structure of phonological networks across multiple languages. International Journal of Bifurcation and Chaos 20, 679-685 (2010).
Synchronization of coupled oscillators
S.H. Strogatz and R.E. Mirollo. Phase-locking and critical phenomena in lattices of coupled nonlinear oscillators with random intrinsic frequencies. Physica D 31, 143-168 (1988).
S.H. Strogatz and R.E. Mirollo. Collective synchronisation in lattices of non-linear oscillators with randomness. Journal of Physics A: Mathematical and General 21, L699-L705 (1988).
R.E. Mirollo and S.H. Strogatz. Amplitude death in an array of limit-cycle oscillators. Journal of Statistical Physics 60, 245-262 (1990).
P.C. Matthews and S.H. Strogatz. Phase diagram for the collective behavior of limit-cycle oscillators. Physical Review Letters 65, 1701-1704 (1990).
R.E. Mirollo and S.H. Strogatz. Synchronization of pulse-coupled biological oscillators. SIAM Journal on Applied Mathematics 50, 1645-1662 (1990).
S.H. Strogatz and R.E. Mirollo. Stability of incoherence in a population of coupled oscillators. Journal of Statistical Physics 63, 613-635 (1991).
P.C. Matthews, R.E. Mirollo, and S.H. Strogatz. Dynamics of a large system of coupled nonlinear oscillators. Physica D 52, 293-331 (1991).
S.H. Strogatz, R.E. Mirollo, and P.C. Matthews. Coupled nonlinear oscillators below the synchronization threshold: relaxation by generalized Landau damping. Physical Review Letters 68, 2730-2733 (1992).
S.H. Strogatz and I. Stewart. Coupled oscillators and biological synchronization. Scientific American 269 (6), December, 102-109 (1993).
S.H. Strogatz. Norbert Wiener's brain waves. In Frontiers in Mathematical Biology, edited by S. Levin. Lecture Notes in Biomathematics, Vol. 100, Springer-Verlag, New York, pp. 122-138 (1994).
W.-J. Rappel and S.H.Strogatz. Stochastic resonance in an autonomous system with a nonuniform limit cycle. Physical Review E 50, 3249-3250 (1994).
G. Goldsztein and S.H. Strogatz. Stability of synchronization in a network of digital phase-locked loops. International Journal of Bifurcations and Chaos 5, 983-990 (1995).
K.L. Turner, S.A. Miller, N.C. MacDonald, S.H. Strogatz, and S.G. Adams. Five parametric resonances in a microelectromechanical system. Nature 396, 149-152 (1998).
M.K.S. Yeung and S.H. Strogatz. Time delay in the Kuramoto model of coupled oscillators. Physical Review Letters 82, 648-651 (1999).
S.H. Strogatz. From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators. Physica D 143, 1-20 (2000).
J.T. Ariaratnam and S.H. Strogatz. Phase diagram for the Winfree model of coupled oscillators. Physical Review Letters 86, 4278-4281 (2001).
M.G. Earl and S.H. Strogatz. Synchronization in oscillator networks with delayed coupling: A stability criterion. Physical Review E 67, 036204 (2003).
J. Garcia-Ojalvo, M.B. Elowitz, and S.H. Strogatz. Modeling a multicellular clock: Repressilators coupled by quorum sensing. Proceedings of the National Academy of Sciences USA 101, 10955-10960 (2004).
D.M. Abrams and S.H. Strogatz. Chimera states for coupled oscillators. Physical Review Letters 93, 174102 (2004).
R.E. Mirollo and S.H. Strogatz. The spectrum of the locked state for the Kuramoto model of coupled oscillators. Physica D 205, 249-266 (2005).
S.H. Strogatz, D.M. Abrams, A. McRobie, B. Eckhardt, and E. Ott. Crowd synchrony on the Millennium Bridge. Nature 438, 43-44 (2005).
D.M. Abrams and S.H. Strogatz. Chimera states in rings of nonlocally coupled oscillators. International Journal of Bifurcation and Chaos 16, 21-37 (2006).
D.A. Wiley, S.H. Strogatz, and M. Girvan. The size of the sync basin. Chaos 16, 015103 (2006).
B. Eckhardt, E. Ott, S.H. Strogatz, D.M. Abrams, and A. McRobie. Modeling walker synchronization on the Millennium Bridge. Physical Review E 75, 021110 (2007).
D.D. Quinn, R.H. Rand, and S.H. Strogatz. Singular unlocking transition in the Winfree model of coupled oscillators. Physical Review E 75, 036218 (2007).
R. Mirollo and S.H. Strogatz. The spectrum of the partially locked state for the Kuramoto model. Journal of Nonlinear Science 17, 309-347 (2007).
D.M. Abrams, R. Mirollo, S.H. Strogatz, and D.A. Wiley. Solvable model for chimera states of coupled oscillators. Physical Review Letters 101, 084103 (2008); see also Erratum, Physical Review Letters 101, 129902 (2008).
O. Simeone, U. Spagnolini, Y. Bar-Ness, and S.H. Strogatz. Distributed synchronization in wireless networks. IEEE Signal Processing Magazine 25 (5), 81-97 (2008).
L.M. Childs and S.H. Strogatz. Stability diagram for the forced Kuramoto model. Chaos 18, 043128 (2008).
E. A. Martens, E. Barreto, S. H. Strogatz, E. Ott, P. So, and T. M. Antonsen. Exact results for the Kuramoto model with a bimodal frequency distribution. Physical Review E 79, 026204 (2009).
S.A. Marvel, R.E. Mirollo and S.H. Strogatz. Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action. Chaos 19, 043104 (2009).
E.A. Martens, C.R. Laing and S.H. Strogatz. Solvable model of spiral wave chimeras. Physical Review Letters 104, 044101 (2010).
H. Hong and S.H. Strogatz. Kuramoto model of coupled oscillators with positive and negative coupling parameters: An example of conformist and contrarian oscillators. Physical Review Letters 106, 054102 (2011).
H. Hong and S.H. Strogatz. Conformists and contrarians in a Kuramoto model with identical natural frequencies. Physical Review E 84, 046202 (2011).
H. Hong and S.H. Strogatz. Mean-field behavior in coupled oscillators with attractive and repulsive interactions. Physical Review E 85, 056210 (2012).
Models of social, linguistic, physical and biological systems
H.A. Stone, A. Nadim, and S.H. Strogatz. Chaotic streamlines inside drops immersed in steady Stokes flows. Journal of Fluid Mechanics 232, 629-646 (1991).
M. Girvan, D.S. Callaway, M.E.J. Newman, and S.H. Strogatz. A simple model of epidemics with pathogen mutation. Physical Review E 65, 031915 (2002).
D.M. Abrams and S.H. Strogatz. Modelling the dynamics of language death. Nature 424, 900 (2003).
S. Arbesman, J. Kleinberg, and S.H. Strogatz. Superlinear scaling for innovation in cities. Physical Review E 79, 016115 (2009).
S.A. Marvel, S.H. Strogatz and J.M. Kleinberg. Energy landscape of social balance. Physical Review Letters 103, 198701 (2009).
C. Ratti, S. Sobolevsky, F. Calabrese, C. Andris, J. Reades, M. Martino, R. Claxton and S.H. Strogatz. Redrawing the map of Great Britain from a network of human interactions. PLoS ONE 5, e14248 (2010).
S.A. Marvel, J. Kleinberg, R.D. Kleinberg and S.H. Strogatz. Continuous-time model of structural balance. Proceedings of the National Academy of Sciences 108, 1771-1776 (2011).
L.M. Childs, M. Paskow, S. Morris, M. Hesse and S. Strogatz. From inflammation to wound healing: using a simple model to understand the functional versatility of murine macrophages. Bulletin of Mathematical Biology, doi:10.1007/s11538-011-9637-5 (2011).
T.P. Novikoff, J.M. Kleinberg and S.H. Strogatz. Education of a model student. Proceedings of the National Academy of Sciences (2012). doi:10.1073/pnas.1109863109
S.A. Marvel, H. Hong, A. Papush, and S.H. Strogatz. Encouraging moderation: Clues from a simple model of ideological conflict. Physical Review Letters 109, 118702 (2012).
DNA topology
A. Worcel, S. Strogatz, and D. Riley. Structure of chromatin and the linking number of DNA. Proceedings of the National Academy of Sciences USA 78, 1461-1465 (1981).
S. Strogatz. Estimating the torsional rigidity of DNA from supercoiling data. Journal of Chemical Physics 77, 580-581 (1982).
S. Strogatz. Topology of zig-zag chromatin. Journal of Theoretical Biology 103, 601-607 (1983).
Lasers
A. Hohl, H.J.C van der Linden, R. Roy, G. Goldsztein, F. Broner, and S.H. Strogatz. Scaling laws for dynamical hysteresis in a multidimensional laser system. Physical Review Letters 74, 2220-2223 (1995).
G. Goldsztein, F. Broner, and S.H. Strogatz. Dynamical hysteresis without static hysteresis: Scaling laws and asymptotic expansions. SIAM Journal on Applied Mathematics 57, 1163-1187 (1997).
M.K.S. Yeung and S.H. Strogatz. Nonlinear dynamics of a solid-state laser with injection. Physical Review E 58, 4421-4435 (1998).
R.A. Oliva and S.H. Strogatz. Dynamics of a large array of globally coupled lasers with distributed frequencies. International Journal of Bifurcation and Chaos 11, 2359-2374 (2001).
Josephson junction arrays
K.Y. Tsang, S.H. Strogatz, and K. Wiesenfeld. Reversibility and noise sensitivity of Josephson arrays. Physical Review Letters 66, 1094-1097 (1991).
K.Y. Tsang, R.E. Mirollo, S.H. Strogatz, and K. Wiesenfeld. Dynamics of a globally coupled oscillator array. Physica D 48, 102-112 (1991).
J.W. Swift, S.H. Strogatz, and K. Wiesenfeld. Averaging of globally coupled oscillators. Physica D 55, 239-250 (1992).
S.H. Strogatz and R.E. Mirollo. Splay states in globally coupled Josephson arrays: analytical prediction of Floquet multipliers. Physical Review E 47, 220-227 (1993).
S. Watanabe and S.H. Strogatz. Integrability of a globally coupled oscillator array. Physical Review Letters 70, 2391-2394 (1993).
S. Watanabe and S.H. Strogatz. Constants of motion for superconducting Josephson arrays. Physica D 74, 197-253 (1994).
H.S.J. van der Zant, T.P. Orlando, S. Watanabe, and S.H. Strogatz. Vortices trapped in discrete Josephson rings. Physica B 203, 490-496 (1994).
H.S.J. van der Zant, T.P. Orlando, S. Watanabe, and S.H. Strogatz. Kink propagation in a highly discrete system: observation of phase-locking to linear waves. Physical Review Letters 74, 174-177 (1995).
S. Watanabe, S.H. Strogatz, H.S.J. van der Zant, and T.P. Orlando. Whirling modes and parametric instabilities in the discrete sine-Gordon equation: experimental tests in Josephson rings. Physical Review Letters 74, 379-382 (1995).
K. Wiesenfeld, P. Colet, and S.H. Strogatz. Synchronization transitions in a disordered Josephson series array. Physical Review Letters 76, 404-407 (1996).
A.E. Duwel, E. Trias, T.P. Orlando, H.S.J. van der Zant, S. Watanabe, and S.H. Strogatz. Resonance splitting in discrete planar arrays of Josephson junctions. Journal of Applied Physics 79, 7864-7870 (1996).
S. Watanabe, S.H. Strogatz, H.S.J. van der Zant, and T.P. Orlando. Dynamics of circular arrays of Josephson junctions and the discrete sine-Gordon equation. Physica D 97, 429-470 (1996).
M. Barahona, E. Trias, T.P. Orlando, A.E. Duwel, H.S.J. van der Zant, S. Watanabe, and S.H. Strogatz. Resonances of dynamical checkerboard states in Josephson arrays with self-inductance. Physical Review B 55, R11989-R11992 (1997).
A.E. Duwel, S. Watanabe, E. Trias, T.P. Orlando, H.S.J. van der Zant, and S.H. Strogatz. Discreteness-induced resonances and AC voltage amplitudes in long one-dimensional Josephson junction arrays. Journal of Applied Physics 82, 4661-4668 (1997).
M. Barahona, S.H. Strogatz, and T.P. Orlando. Superconducting states and depinning transitions of Josephson ladders. Physical Review B 57, 1181-1199 (1998).
K. Wiesenfeld, P. Colet, and S.H. Strogatz. Frequency locking in Josephson arrays: Connection with the Kuramoto model. Physical Review E 57, 1563-1569 (1998).
M. Barahona and S.H. Strogatz. Pinned states in Josephson arrays: A general stability theorem. Physical Review B 58, 5215-5218 (1998).
A.E. Duwel, C.P. Heij, J.C. Weisenfeld, M.K.S. Yeung, E. Trias, S.J.K Vardy, H.S.J. van der Zant, S.H. Strogatz, and T.P. Orlando. Interactions of topological kinks in two coupled rings of nonlinear oscillators. Physical Review B 58, 8749-8754 (1998).
S.A. Marvel and S. H. Strogatz. Invariant submanifold for series arrays of Josephson junctions. Chaos 19, 013132 (2009).
Synchronized chaos for communications
K.M. Cuomo, A.V. Oppenheim, and S.H. Strogatz. Synchronization of Lorenz-based chaotic circuits, with applications to communications. IEEE Transactions on Circuits and Systems II.40, 626-633 (1993).
K.M. Cuomo, A.V. Oppenheim, and S.H. Strogatz. Robustness and signal recovery in a synchronized chaotic system. International Journal of Bifurcations and Chaos 3, 1629-1638 (1993).
Charge-density waves
S.H. Strogatz, C.M. Marcus, R.M. Westervelt, and R.E. Mirollo. Simple model of collective transport with phase slippage. Physical Review Letters 61, 2380-2383 (1988).
S.H. Strogatz, C.M. Marcus, R.M. Westervelt, and R.E. Mirollo. Collective dynamics of coupled oscillators with random pinning. Physica D 36, 23-50 (1989).
C.M. Marcus, S.H. Strogatz, and R.M. Westervelt. Delayed switching in a phase-slip model of charge-density wave transport. Physical Review B 40, 5588-5592 (1989).
S.H. Strogatz and R.M. Westervelt. Predicted power laws for delayed switching of charge-density waves. Physical Review B 40, 10501-10508 (1989).
R.E. Mirollo and S.H. Strogatz. Jump bifurcations and hysteresis in an infinite-dimensional dynamical system of coupled spins. SIAM Journal on Applied Mathematics 50, 108-124 (1990).
Sleep and circadian rhythms
S.H. Strogatz and R.E. Kronauer. Circadian wake-maintenance zones and insomnia in man. Sleep Research 14, 219 (1985).
S.H. Strogatz, R.E. Kronauer, and C.A. Czeisler. Circadian regulation dominates homeostatic control of sleep length and prior wake length in humans. Sleep 9, 353-364 (1986).
C.A. Czeisler, J.S. Allan, S.H. Strogatz, J.M. Ronda, R. Sanchez, C.D. Rios, W.O. Freitag, G.S. Richardson, and R.E. Kronauer. Bright light resets the human circadian pacemaker independent of the timing of the sleep-wake cycle. Science 233, 667-671 (1986).
S.H. Strogatz. The Mathematical Structure of the Human Sleep-Wake Cycle. Lecture Notes in Biomathematics, Vol 69 (Springer, New York, 1986).
S.H. Strogatz. A comparative analysis of models of the human sleep-wake cycle. In: Lectures on Mathematics in the Life Sciences, Vol. 19: ed. G. Carpenter, American Mathematical Society, Providence, pp. 1-37 (1987).
S.H. Strogatz, R.E. Kronauer, and C.A. Czeisler. Circadian pacemaker interferes with sleep onset at specific times each day: role in insomnia. American Journal of Physiology 253, R172-R178 (1987).
S.H. Strogatz. Human sleep and circadian rhythms: a simple model based on two coupled oscillators. Journal of Mathematical Biology 25, 327-347 (1987).
S.H. Strogatz. Author's summary in Open Peer Commentary on "The Mathematical Structure of the Human Sleep-Wake Cycle." Journal of Biological Rhythms 2, 317-321 (1987).
S.H. Strogatz. Interpreting the human phase response curve to multiple bright-light exposures. Journal of Biological Rhythms 5, 169-174 (1990).
C. Liu, D.R. Weaver, S.H. Strogatz, and S.M. Reppert. Cellular construction of a circadian clock: Period determination in the suprachiasmatic nuclei. Cell 91, 855-860 (1997).
Chemical wave topology
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. I. Geometrically simple waves. Physica D 8, 35-49 (1983).
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. II. Twisted waves. Physica D 9, 65-80 (1983).
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. III. Knotted waves. Physica D 9, 333-345 (1983).
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. IV. Wave taxonomy. Physica D 13, 221-233 (1984).
S.H. Strogatz, M.L. Prueitt, and A.T. Winfree. Exotic shapes in chemistry and biology. IEEE Computer Graphics and Applications 4 (1), 66-69 (1984).
A.T. Winfree and S.H. Strogatz. Organising centres for three-dimensional chemical waves. Nature 311, 611-615 (1984).
J.J. Tyson and S.H. Strogatz. The differential geometry of scroll waves. International Journal of Bifurcations and Chaos 1, 723-744 (1991).
Pedagogical articles about mathematics
S. Strogatz. Yeast oscillations, Belousov-Zhabotinsky waves, and the non-retraction theorem. Mathematical Intelligencer 7 (2), 9-17 (1985).
S.H. Strogatz. Love affairs and differential equations. Mathematics Magazine 61, 35 (1988).
R.E. Mirollo and S.H. Strogatz. Integral representation of a finite spike. American Mathematical Monthly 97, 901-903 (1990).
P.C. Matthews and S.H. Strogatz. Chaotic mappings and probability distributions. College Mathematics Journal 22, 45-47 (1991).
P. Saha and S.H. Strogatz. The birth of period three. Mathematics Magazine 68 (1), 42-47 (1995).
News and Views
S.H. Strogatz. Nonlinear dynamics: Ordering chaos with disorder. Nature 378, 444 (1995).
S.H. Strogatz. Nonlinear dynamics: Death by delay. Nature 394, 316-317 (1998).
S.H. Strogatz. Romanesque networks. Nature 433, 365-366 (2005).
D.J. Watts and S.H. Strogatz. Collective dynamics of 'small-world' networks. Nature 393, 440-442 (1998).
D.S. Callaway, M.E.J. Newman, S.H. Strogatz, and D.J. Watts. Network robustness and fragility: Percolation on random graphs. Physical Review Letters 85, 5468-5471 (2000).
S.H. Strogatz. Exploring complex networks. (Invited Insight article) Nature 410, 268-276 (2001).
M.E.J. Newman, S.H. Strogatz, and D.J. Watts. Random graphs with arbitrary degree distribution and their applications. Physical Review E 6402 (2): 6118-+ (2001).
D.S. Callaway, J.E. Hopcroft, J.M. Kleinberg, M.E.J. Newman, and S.H. Strogatz. Are randomly grown graphs really random? Physical Review E 6404 (4): 1902-+ (2001).
M.E.J. Newman, D.J. Watts, and S.H. Strogatz. Random graph models of social networks. Proceedings of the National Academy of Sciences USA 99, 2566-2572 (2002).
S. Arbesman, S.H. Strogatz and M.S. Vitevitch. Comparative analysis of networks of phonologically similar words in English and Spanish. Entropy 12, 327-337 (2010).
S. Arbesman, S.H. Strogatz and M.S. Vitevitch. The structure of phonological networks across multiple languages. International Journal of Bifurcation and Chaos 20, 679-685 (2010).
Synchronization of coupled oscillators
S.H. Strogatz and R.E. Mirollo. Phase-locking and critical phenomena in lattices of coupled nonlinear oscillators with random intrinsic frequencies. Physica D 31, 143-168 (1988).
S.H. Strogatz and R.E. Mirollo. Collective synchronisation in lattices of non-linear oscillators with randomness. Journal of Physics A: Mathematical and General 21, L699-L705 (1988).
R.E. Mirollo and S.H. Strogatz. Amplitude death in an array of limit-cycle oscillators. Journal of Statistical Physics 60, 245-262 (1990).
P.C. Matthews and S.H. Strogatz. Phase diagram for the collective behavior of limit-cycle oscillators. Physical Review Letters 65, 1701-1704 (1990).
R.E. Mirollo and S.H. Strogatz. Synchronization of pulse-coupled biological oscillators. SIAM Journal on Applied Mathematics 50, 1645-1662 (1990).
S.H. Strogatz and R.E. Mirollo. Stability of incoherence in a population of coupled oscillators. Journal of Statistical Physics 63, 613-635 (1991).
P.C. Matthews, R.E. Mirollo, and S.H. Strogatz. Dynamics of a large system of coupled nonlinear oscillators. Physica D 52, 293-331 (1991).
S.H. Strogatz, R.E. Mirollo, and P.C. Matthews. Coupled nonlinear oscillators below the synchronization threshold: relaxation by generalized Landau damping. Physical Review Letters 68, 2730-2733 (1992).
S.H. Strogatz and I. Stewart. Coupled oscillators and biological synchronization. Scientific American 269 (6), December, 102-109 (1993).
S.H. Strogatz. Norbert Wiener's brain waves. In Frontiers in Mathematical Biology, edited by S. Levin. Lecture Notes in Biomathematics, Vol. 100, Springer-Verlag, New York, pp. 122-138 (1994).
W.-J. Rappel and S.H.Strogatz. Stochastic resonance in an autonomous system with a nonuniform limit cycle. Physical Review E 50, 3249-3250 (1994).
G. Goldsztein and S.H. Strogatz. Stability of synchronization in a network of digital phase-locked loops. International Journal of Bifurcations and Chaos 5, 983-990 (1995).
K.L. Turner, S.A. Miller, N.C. MacDonald, S.H. Strogatz, and S.G. Adams. Five parametric resonances in a microelectromechanical system. Nature 396, 149-152 (1998).
M.K.S. Yeung and S.H. Strogatz. Time delay in the Kuramoto model of coupled oscillators. Physical Review Letters 82, 648-651 (1999).
S.H. Strogatz. From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators. Physica D 143, 1-20 (2000).
J.T. Ariaratnam and S.H. Strogatz. Phase diagram for the Winfree model of coupled oscillators. Physical Review Letters 86, 4278-4281 (2001).
M.G. Earl and S.H. Strogatz. Synchronization in oscillator networks with delayed coupling: A stability criterion. Physical Review E 67, 036204 (2003).
J. Garcia-Ojalvo, M.B. Elowitz, and S.H. Strogatz. Modeling a multicellular clock: Repressilators coupled by quorum sensing. Proceedings of the National Academy of Sciences USA 101, 10955-10960 (2004).
D.M. Abrams and S.H. Strogatz. Chimera states for coupled oscillators. Physical Review Letters 93, 174102 (2004).
R.E. Mirollo and S.H. Strogatz. The spectrum of the locked state for the Kuramoto model of coupled oscillators. Physica D 205, 249-266 (2005).
S.H. Strogatz, D.M. Abrams, A. McRobie, B. Eckhardt, and E. Ott. Crowd synchrony on the Millennium Bridge. Nature 438, 43-44 (2005).
D.M. Abrams and S.H. Strogatz. Chimera states in rings of nonlocally coupled oscillators. International Journal of Bifurcation and Chaos 16, 21-37 (2006).
D.A. Wiley, S.H. Strogatz, and M. Girvan. The size of the sync basin. Chaos 16, 015103 (2006).
B. Eckhardt, E. Ott, S.H. Strogatz, D.M. Abrams, and A. McRobie. Modeling walker synchronization on the Millennium Bridge. Physical Review E 75, 021110 (2007).
D.D. Quinn, R.H. Rand, and S.H. Strogatz. Singular unlocking transition in the Winfree model of coupled oscillators. Physical Review E 75, 036218 (2007).
R. Mirollo and S.H. Strogatz. The spectrum of the partially locked state for the Kuramoto model. Journal of Nonlinear Science 17, 309-347 (2007).
D.M. Abrams, R. Mirollo, S.H. Strogatz, and D.A. Wiley. Solvable model for chimera states of coupled oscillators. Physical Review Letters 101, 084103 (2008); see also Erratum, Physical Review Letters 101, 129902 (2008).
O. Simeone, U. Spagnolini, Y. Bar-Ness, and S.H. Strogatz. Distributed synchronization in wireless networks. IEEE Signal Processing Magazine 25 (5), 81-97 (2008).
L.M. Childs and S.H. Strogatz. Stability diagram for the forced Kuramoto model. Chaos 18, 043128 (2008).
E. A. Martens, E. Barreto, S. H. Strogatz, E. Ott, P. So, and T. M. Antonsen. Exact results for the Kuramoto model with a bimodal frequency distribution. Physical Review E 79, 026204 (2009).
S.A. Marvel, R.E. Mirollo and S.H. Strogatz. Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action. Chaos 19, 043104 (2009).
E.A. Martens, C.R. Laing and S.H. Strogatz. Solvable model of spiral wave chimeras. Physical Review Letters 104, 044101 (2010).
H. Hong and S.H. Strogatz. Kuramoto model of coupled oscillators with positive and negative coupling parameters: An example of conformist and contrarian oscillators. Physical Review Letters 106, 054102 (2011).
H. Hong and S.H. Strogatz. Conformists and contrarians in a Kuramoto model with identical natural frequencies. Physical Review E 84, 046202 (2011).
H. Hong and S.H. Strogatz. Mean-field behavior in coupled oscillators with attractive and repulsive interactions. Physical Review E 85, 056210 (2012).
Models of social, linguistic, physical and biological systems
H.A. Stone, A. Nadim, and S.H. Strogatz. Chaotic streamlines inside drops immersed in steady Stokes flows. Journal of Fluid Mechanics 232, 629-646 (1991).
M. Girvan, D.S. Callaway, M.E.J. Newman, and S.H. Strogatz. A simple model of epidemics with pathogen mutation. Physical Review E 65, 031915 (2002).
D.M. Abrams and S.H. Strogatz. Modelling the dynamics of language death. Nature 424, 900 (2003).
S. Arbesman, J. Kleinberg, and S.H. Strogatz. Superlinear scaling for innovation in cities. Physical Review E 79, 016115 (2009).
S.A. Marvel, S.H. Strogatz and J.M. Kleinberg. Energy landscape of social balance. Physical Review Letters 103, 198701 (2009).
C. Ratti, S. Sobolevsky, F. Calabrese, C. Andris, J. Reades, M. Martino, R. Claxton and S.H. Strogatz. Redrawing the map of Great Britain from a network of human interactions. PLoS ONE 5, e14248 (2010).
S.A. Marvel, J. Kleinberg, R.D. Kleinberg and S.H. Strogatz. Continuous-time model of structural balance. Proceedings of the National Academy of Sciences 108, 1771-1776 (2011).
L.M. Childs, M. Paskow, S. Morris, M. Hesse and S. Strogatz. From inflammation to wound healing: using a simple model to understand the functional versatility of murine macrophages. Bulletin of Mathematical Biology, doi:10.1007/s11538-011-9637-5 (2011).
T.P. Novikoff, J.M. Kleinberg and S.H. Strogatz. Education of a model student. Proceedings of the National Academy of Sciences (2012). doi:10.1073/pnas.1109863109
S.A. Marvel, H. Hong, A. Papush, and S.H. Strogatz. Encouraging moderation: Clues from a simple model of ideological conflict. Physical Review Letters 109, 118702 (2012).
DNA topology
A. Worcel, S. Strogatz, and D. Riley. Structure of chromatin and the linking number of DNA. Proceedings of the National Academy of Sciences USA 78, 1461-1465 (1981).
S. Strogatz. Estimating the torsional rigidity of DNA from supercoiling data. Journal of Chemical Physics 77, 580-581 (1982).
S. Strogatz. Topology of zig-zag chromatin. Journal of Theoretical Biology 103, 601-607 (1983).
Lasers
A. Hohl, H.J.C van der Linden, R. Roy, G. Goldsztein, F. Broner, and S.H. Strogatz. Scaling laws for dynamical hysteresis in a multidimensional laser system. Physical Review Letters 74, 2220-2223 (1995).
G. Goldsztein, F. Broner, and S.H. Strogatz. Dynamical hysteresis without static hysteresis: Scaling laws and asymptotic expansions. SIAM Journal on Applied Mathematics 57, 1163-1187 (1997).
M.K.S. Yeung and S.H. Strogatz. Nonlinear dynamics of a solid-state laser with injection. Physical Review E 58, 4421-4435 (1998).
R.A. Oliva and S.H. Strogatz. Dynamics of a large array of globally coupled lasers with distributed frequencies. International Journal of Bifurcation and Chaos 11, 2359-2374 (2001).
Josephson junction arrays
K.Y. Tsang, S.H. Strogatz, and K. Wiesenfeld. Reversibility and noise sensitivity of Josephson arrays. Physical Review Letters 66, 1094-1097 (1991).
K.Y. Tsang, R.E. Mirollo, S.H. Strogatz, and K. Wiesenfeld. Dynamics of a globally coupled oscillator array. Physica D 48, 102-112 (1991).
J.W. Swift, S.H. Strogatz, and K. Wiesenfeld. Averaging of globally coupled oscillators. Physica D 55, 239-250 (1992).
S.H. Strogatz and R.E. Mirollo. Splay states in globally coupled Josephson arrays: analytical prediction of Floquet multipliers. Physical Review E 47, 220-227 (1993).
S. Watanabe and S.H. Strogatz. Integrability of a globally coupled oscillator array. Physical Review Letters 70, 2391-2394 (1993).
S. Watanabe and S.H. Strogatz. Constants of motion for superconducting Josephson arrays. Physica D 74, 197-253 (1994).
H.S.J. van der Zant, T.P. Orlando, S. Watanabe, and S.H. Strogatz. Vortices trapped in discrete Josephson rings. Physica B 203, 490-496 (1994).
H.S.J. van der Zant, T.P. Orlando, S. Watanabe, and S.H. Strogatz. Kink propagation in a highly discrete system: observation of phase-locking to linear waves. Physical Review Letters 74, 174-177 (1995).
S. Watanabe, S.H. Strogatz, H.S.J. van der Zant, and T.P. Orlando. Whirling modes and parametric instabilities in the discrete sine-Gordon equation: experimental tests in Josephson rings. Physical Review Letters 74, 379-382 (1995).
K. Wiesenfeld, P. Colet, and S.H. Strogatz. Synchronization transitions in a disordered Josephson series array. Physical Review Letters 76, 404-407 (1996).
A.E. Duwel, E. Trias, T.P. Orlando, H.S.J. van der Zant, S. Watanabe, and S.H. Strogatz. Resonance splitting in discrete planar arrays of Josephson junctions. Journal of Applied Physics 79, 7864-7870 (1996).
S. Watanabe, S.H. Strogatz, H.S.J. van der Zant, and T.P. Orlando. Dynamics of circular arrays of Josephson junctions and the discrete sine-Gordon equation. Physica D 97, 429-470 (1996).
M. Barahona, E. Trias, T.P. Orlando, A.E. Duwel, H.S.J. van der Zant, S. Watanabe, and S.H. Strogatz. Resonances of dynamical checkerboard states in Josephson arrays with self-inductance. Physical Review B 55, R11989-R11992 (1997).
A.E. Duwel, S. Watanabe, E. Trias, T.P. Orlando, H.S.J. van der Zant, and S.H. Strogatz. Discreteness-induced resonances and AC voltage amplitudes in long one-dimensional Josephson junction arrays. Journal of Applied Physics 82, 4661-4668 (1997).
M. Barahona, S.H. Strogatz, and T.P. Orlando. Superconducting states and depinning transitions of Josephson ladders. Physical Review B 57, 1181-1199 (1998).
K. Wiesenfeld, P. Colet, and S.H. Strogatz. Frequency locking in Josephson arrays: Connection with the Kuramoto model. Physical Review E 57, 1563-1569 (1998).
M. Barahona and S.H. Strogatz. Pinned states in Josephson arrays: A general stability theorem. Physical Review B 58, 5215-5218 (1998).
A.E. Duwel, C.P. Heij, J.C. Weisenfeld, M.K.S. Yeung, E. Trias, S.J.K Vardy, H.S.J. van der Zant, S.H. Strogatz, and T.P. Orlando. Interactions of topological kinks in two coupled rings of nonlinear oscillators. Physical Review B 58, 8749-8754 (1998).
S.A. Marvel and S. H. Strogatz. Invariant submanifold for series arrays of Josephson junctions. Chaos 19, 013132 (2009).
Synchronized chaos for communications
K.M. Cuomo, A.V. Oppenheim, and S.H. Strogatz. Synchronization of Lorenz-based chaotic circuits, with applications to communications. IEEE Transactions on Circuits and Systems II.40, 626-633 (1993).
K.M. Cuomo, A.V. Oppenheim, and S.H. Strogatz. Robustness and signal recovery in a synchronized chaotic system. International Journal of Bifurcations and Chaos 3, 1629-1638 (1993).
Charge-density waves
S.H. Strogatz, C.M. Marcus, R.M. Westervelt, and R.E. Mirollo. Simple model of collective transport with phase slippage. Physical Review Letters 61, 2380-2383 (1988).
S.H. Strogatz, C.M. Marcus, R.M. Westervelt, and R.E. Mirollo. Collective dynamics of coupled oscillators with random pinning. Physica D 36, 23-50 (1989).
C.M. Marcus, S.H. Strogatz, and R.M. Westervelt. Delayed switching in a phase-slip model of charge-density wave transport. Physical Review B 40, 5588-5592 (1989).
S.H. Strogatz and R.M. Westervelt. Predicted power laws for delayed switching of charge-density waves. Physical Review B 40, 10501-10508 (1989).
R.E. Mirollo and S.H. Strogatz. Jump bifurcations and hysteresis in an infinite-dimensional dynamical system of coupled spins. SIAM Journal on Applied Mathematics 50, 108-124 (1990).
Sleep and circadian rhythms
S.H. Strogatz and R.E. Kronauer. Circadian wake-maintenance zones and insomnia in man. Sleep Research 14, 219 (1985).
S.H. Strogatz, R.E. Kronauer, and C.A. Czeisler. Circadian regulation dominates homeostatic control of sleep length and prior wake length in humans. Sleep 9, 353-364 (1986).
C.A. Czeisler, J.S. Allan, S.H. Strogatz, J.M. Ronda, R. Sanchez, C.D. Rios, W.O. Freitag, G.S. Richardson, and R.E. Kronauer. Bright light resets the human circadian pacemaker independent of the timing of the sleep-wake cycle. Science 233, 667-671 (1986).
S.H. Strogatz. The Mathematical Structure of the Human Sleep-Wake Cycle. Lecture Notes in Biomathematics, Vol 69 (Springer, New York, 1986).
S.H. Strogatz. A comparative analysis of models of the human sleep-wake cycle. In: Lectures on Mathematics in the Life Sciences, Vol. 19: ed. G. Carpenter, American Mathematical Society, Providence, pp. 1-37 (1987).
S.H. Strogatz, R.E. Kronauer, and C.A. Czeisler. Circadian pacemaker interferes with sleep onset at specific times each day: role in insomnia. American Journal of Physiology 253, R172-R178 (1987).
S.H. Strogatz. Human sleep and circadian rhythms: a simple model based on two coupled oscillators. Journal of Mathematical Biology 25, 327-347 (1987).
S.H. Strogatz. Author's summary in Open Peer Commentary on "The Mathematical Structure of the Human Sleep-Wake Cycle." Journal of Biological Rhythms 2, 317-321 (1987).
S.H. Strogatz. Interpreting the human phase response curve to multiple bright-light exposures. Journal of Biological Rhythms 5, 169-174 (1990).
C. Liu, D.R. Weaver, S.H. Strogatz, and S.M. Reppert. Cellular construction of a circadian clock: Period determination in the suprachiasmatic nuclei. Cell 91, 855-860 (1997).
Chemical wave topology
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. I. Geometrically simple waves. Physica D 8, 35-49 (1983).
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. II. Twisted waves. Physica D 9, 65-80 (1983).
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. III. Knotted waves. Physica D 9, 333-345 (1983).
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. IV. Wave taxonomy. Physica D 13, 221-233 (1984).
S.H. Strogatz, M.L. Prueitt, and A.T. Winfree. Exotic shapes in chemistry and biology. IEEE Computer Graphics and Applications 4 (1), 66-69 (1984).
A.T. Winfree and S.H. Strogatz. Organising centres for three-dimensional chemical waves. Nature 311, 611-615 (1984).
J.J. Tyson and S.H. Strogatz. The differential geometry of scroll waves. International Journal of Bifurcations and Chaos 1, 723-744 (1991).
Pedagogical articles about mathematics
S. Strogatz. Yeast oscillations, Belousov-Zhabotinsky waves, and the non-retraction theorem. Mathematical Intelligencer 7 (2), 9-17 (1985).
S.H. Strogatz. Love affairs and differential equations. Mathematics Magazine 61, 35 (1988).
R.E. Mirollo and S.H. Strogatz. Integral representation of a finite spike. American Mathematical Monthly 97, 901-903 (1990).
P.C. Matthews and S.H. Strogatz. Chaotic mappings and probability distributions. College Mathematics Journal 22, 45-47 (1991).
P. Saha and S.H. Strogatz. The birth of period three. Mathematics Magazine 68 (1), 42-47 (1995).
News and Views
S.H. Strogatz. Nonlinear dynamics: Ordering chaos with disorder. Nature 378, 444 (1995).
S.H. Strogatz. Nonlinear dynamics: Death by delay. Nature 394, 316-317 (1998).
S.H. Strogatz. Romanesque networks. Nature 433, 365-366 (2005).
Scientific publications (listed chronologically - see above for topics)
A. Worcel, S.
Strogatz, and D. Riley. Structure
of chromatin and the linking number of DNA. Proceedings of the National Academy of Sciences USA 78,
1461-1465 (1981).
S. Strogatz. Estimating the torsional rigidity of DNA from supercoiling data. Journal of Chemical Physics 77, 580-581 (1982).
S. Strogatz. Topology of zig-zag chromatin. Journal of Theoretical Biology 103, 601-607 (1983).
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. I. Geometrically simple waves. Physica D 8, 35-49 (1983).
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. II. Twisted waves. Physica D 9, 65-80 (1983).
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. III. Knotted waves. Physica D 9, 333-345 (1983).
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. IV. Wave taxonomy. Physica D 13, 221-233 (1984).
S.H. Strogatz, M.L. Prueitt, and A.T. Winfree. Exotic shapes in chemistry and biology. IEEE Computer Graphics and Applications 4 (1), 66-69 (1984).
A.T. Winfree and S.H. Strogatz. Organising centres for three-dimensional chemical waves. Nature 311, 611-615 (1984).
S. Strogatz. Yeast oscillations, Belousov-Zhabotinsky waves, and the non-retraction theorem. Mathematical Intelligencer 7 (2), 9-17 (1985).
S.H. Strogatz and R.E. Kronauer. Circadian wake-maintenance zones and insomnia in man. Sleep Research 14, 219 (1985).
S.H. Strogatz, R.E. Kronauer, and C.A. Czeisler. Circadian regulation dominates homeostatic control of sleep length and prior wake length in humans. Sleep 9, 353-364 (1986).
C.A. Czeisler, J.S. Allan, S.H. Strogatz, J.M. Ronda, R. Sanchez, C.D. Rios, W.O. Freitag, G.S. Richardson, and R.E. Kronauer. Bright light resets the human circadian pacemaker independent of the timing of the sleep-wake cycle. Science 233, 667-671 (1986).
S.H. Strogatz. A comparative analysis of models of the human sleep-wake cycle. In: Lectures on Mathematics in the Life Sciences, Vol. 19: ed. G. Carpenter, American Mathematical Society, Providence, pp. 1-37 (1987).
S.H. Strogatz, R.E. Kronauer, and C.A. Czeisler. Circadian pacemaker interferes with sleep onset at specific times each day: role in insomnia. American Journal of Physiology 253, R172-R178 (1987).
S.H. Strogatz. Human sleep and circadian rhythms: a simple model based on two coupled oscillators. Journal of Mathematical Biology 25, 327-347 (1987).
S.H. Strogatz. Author's summary in Open Peer Commentary on "The Mathematical Structure of the Human Sleep-Wake Cycle." Journal of Biological Rhythms 2, 317-321 (1987).
S.H. Strogatz. Love affairs and differential equations. Mathematics Magazine 61, 35 (1988).
S.H. Strogatz and R.E. Mirollo. Phase-locking and critical phenomena in lattices of coupled nonlinear oscillators with random intrinsic frequencies. Physica D 31, 143-168 (1988).
S.H. Strogatz and R.E. Mirollo. Collective synchronisation in lattices of non-linear oscillators with randomness. Journal of Physics A: Mathematical and General 21, L699-L705 (1988).
S.H. Strogatz, C.M. Marcus, R.M. Westervelt, and R.E. Mirollo. Simple model of collective transport with phase slippage. Physical Review Letters 61, 2380-2383 (1988).
S.H. Strogatz, C.M. Marcus, R.M. Westervelt, and R.E. Mirollo. Collective dynamics of coupled oscillators with random pinning. Physica D 36, 23-50 (1989).
C.M. Marcus, S.H. Strogatz, and R.M. Westervelt. Delayed switching in a phase-slip model of charge-density wave transport. Physical Review B 40, 5588-5592 (1989).
S.H. Strogatz and R.M. Westervelt. Predicted power laws for delayed switching of charge-density waves. Physical Review B 40, 10501-10508 (1989).
R.E. Mirollo and S.H. Strogatz. Jump bifurcations and hysteresis in an infinite-dimensional dynamical system of coupled spins. SIAM Journal on Applied Mathematics 50, 108-124 (1990).
S.H. Strogatz. Interpreting the human phase response curve to multiple bright-light exposures. Journal of Biological Rhythms 5, 169-174 (1990).
R.E. Mirollo and S.H. Strogatz. Amplitude death in an array of limit-cycle oscillators. Journal of Statistical Physics 60, 245-262 (1990).
P.C. Matthews and S.H. Strogatz. Phase diagram for the collective behavior of limit-cycle oscillators. Physical Review Letters 65, 1701-1704 (1990).
R.E. Mirollo and S.H. Strogatz. Synchronization of pulse-coupled biological oscillators. SIAM Journal on Applied Mathematics 50, 1645-1662 (1990).
R.E. Mirollo and S.H. Strogatz. Integral representation of a finite spike. American Mathematical Monthly 97, 901-903 (1990).
P.C. Matthews and S.H. Strogatz. Chaotic mappings and probability distributions. College Mathematics Journal 22, 45-47 (1991).
K.Y. Tsang, S.H. Strogatz, and K. Wiesenfeld. Reversibility and noise sensitivity of Josephson arrays. Physical Review Letters 66, 1094-1097 (1991).
K.Y. Tsang, R.E. Mirollo, S.H. Strogatz, and K. Wiesenfeld. Dynamics of a globally coupled oscillator array. Physica D 48, 102-112 (1991).
S.H. Strogatz and R.E. Mirollo. Stability of incoherence in a population of coupled oscillators. Journal of Statistical Physics 63, 613-635 (1991).
P.C. Matthews, R.E. Mirollo, and S.H. Strogatz. Dynamics of a large system of coupled nonlinear oscillators. Physica D 52, 293-331 (1991).
H.A. Stone, A. Nadim, and S.H. Strogatz. Chaotic streamlines inside drops immersed in steady Stokes flows. Journal of Fluid Mechanics 232, 629-646 (1991).
J.J. Tyson and S.H. Strogatz. The differential geometry of scroll waves. International Journal of Bifurcations and Chaos 1, 723-744 (1991).
J.W. Swift, S.H. Strogatz, and K. Wiesenfeld. Averaging of globally coupled oscillators. Physica D 55, 239-250 (1992).
S.H. Strogatz, R.E. Mirollo, and P.C. Matthews. Coupled nonlinear oscillators below the synchronization threshold: relaxation by generalized Landau damping. Physical Review Letters 68, 2730-2733 (1992).
S.H. Strogatz and R.E. Mirollo. Splay states in globally coupled Josephson arrays: analytical prediction of Floquet multipliers. Physical Review E 47, 220-227 (1993).
S. Watanabe and S.H. Strogatz. Integrability of a globally coupled oscillator array. Physical Review Letters 70, 2391-2394 (1993).
S.H. Strogatz and I. Stewart. Coupled oscillators and biological synchronization. Scientific American 269 (6), December, 102-109 (1993).
K.M. Cuomo, A.V. Oppenheim, and S.H. Strogatz. Synchronization of Lorenz-based chaotic circuits, with applications to communications. IEEE Transactions on Circuits and Systems II.40, 626-633 (1993).
K.M. Cuomo, A.V. Oppenheim, and S.H. Strogatz. Robustness and signal recovery in a synchronized chaotic system. International Journal of Bifurcations and Chaos 3, 1629-1638 (1993).
S.H. Strogatz. Norbert Wiener's brain waves. In Frontiers in Mathematical Biology, edited by S. Levin. Lecture Notes in Biomathematics, Vol. 100, Springer-Verlag, New York, pp. 122-138 (1994).
S. Watanabe and S.H. Strogatz. Constants of motion for superconducting Josephson arrays. Physica D 74, 197-253 (1994).
W.-J. Rappel and S.H.Strogatz. Stochastic resonance in an autonomous system with a nonuniform limit cycle. Physical Review E 50, 3249-3250 (1994).
H.S.J. van der Zant, T.P. Orlando, S. Watanabe, and S.H. Strogatz. Vortices trapped in discrete Josephson rings. Physica B 203, 490-496 (1994).
H.S.J. van der Zant, T.P. Orlando, S. Watanabe, and S.H. Strogatz. Kink propagation in a highly discrete system: observation of phase-locking to linear waves. Physical Review Letters 74, 174-177 (1995).
S. Watanabe, S.H. Strogatz, H.S.J. van der Zant, and T.P. Orlando. Whirling modes and parametric instabilities in the discrete sine-Gordon equation: experimental tests in Josephson rings. Physical Review Letters 74, 379-382 (1995).
P. Saha and S.H. Strogatz. The birth of period three. Mathematics Magazine 68 (1), 42-47 (1995).
Hohl, H.J.C van der Linden, R. Roy, G. Goldsztein, F. Broner, and S.H. Strogatz. Scaling laws for dynamical hysteresis in a multidimensional laser system. Physical Review Letters 74, 2220-2223 (1995).
G. Goldsztein and S.H. Strogatz. Stability of synchronization in a network of digital phase-locked loops. International Journal of Bifurcations and Chaos 5, 983-990 (1995).
S.H. Strogatz. Nonlinear dynamics: Ordering chaos with disorder. (Invited News and Views article) Nature 378, 444 (1995).
K. Wiesenfeld, P. Colet, and S.H. Strogatz. Synchronization transitions in a disordered Josephson series array. Physical Review Letters 76, 404-407 (1996).
A.E. Duwel, E. Trias, T.P. Orlando, H.S.J. van der Zant, S. Watanabe, and S.H. Strogatz. Resonance splitting in discrete planar arrays of Josephson junctions. Journal of Applied Physics 79, 7864-7870 (1996).
S. Watanabe, S.H. Strogatz, H.S.J. van der Zant, and T.P. Orlando. Dynamics of circular arrays of Josephson junctions and the discrete sine-Gordon equation. Physica D 97, 429-470 (1996).
G. Goldsztein, F. Broner, and S.H. Strogatz. Dynamical hysteresis without static hysteresis: Scaling laws and asymptotic expansions. SIAM Journal on Applied Mathematics 57, 1163-1187 (1997).
M. Barahona, E. Trias, T.P. Orlando, A.E. Duwel, H.S.J. van der Zant, S. Watanabe, and S.H. Strogatz. Resonances of dynamical checkerboard states in Josephson arrays with self-inductance. Physical Review B 55, R11989-R11992 (1997).
A.E. Duwel, S. Watanabe, E. Trias, T.P. Orlando, H.S.J. van der Zant, and S.H. Strogatz. Discreteness-induced resonances and AC voltage amplitudes in long one-dimensional Josephson junction arrays. Journal of Applied Physics 82, 4661-4668 (1997).
C. Liu, D.R. Weaver, S.H. Strogatz, and S.M. Reppert. Cellular construction of a circadian clock: Period determination in the suprachiasmatic nuclei. Cell 91, 855-860 (1997).
M. Barahona, S.H. Strogatz, and T.P. Orlando. Superconducting states and depinning transitions of Josephson ladders. Physical Review B 57, 1181-1199 (1998).
K. Wiesenfeld, P. Colet, and S.H. Strogatz. Frequency locking in Josephson arrays: Connection with the Kuramoto model. Physical Review E 57, 1563-1569 (1998).
D.J. Watts and S.H. Strogatz. Collective dynamics of 'small-world' networks. Nature 393, 440-442 (1998).
S.H. Strogatz. Nonlinear dynamics: Death by delay. (Invited News and Views article) Nature 394, 316-317 (1998).
M. Barahona and S.H. Strogatz. Pinned states in Josephson arrays: A general stability theorem. Physical Review B 58, 5215-5218 (1998).
A.E. Duwel, C.P. Heij, J.C. Weisenfeld, M.K.S. Yeung, E. Trias, S.J.K Vardy, H.S.J. van der Zant, S.H. Strogatz, and T.P. Orlando. Interactions of topological kinks in two coupled rings of nonlinear oscillators. Physical Review B 58, 8749-8754 (1998).
M.K.S. Yeung and S.H. Strogatz. Nonlinear dynamics of a solid-state laser with injection. Physical Review E 58, 4421-4435 (1998).
K.L. Turner, S.A. Miller, N.C. MacDonald, S.H. Strogatz, and S.G. Adams. Five parametric resonances in a microelectromechanical system. Nature 396, 149-152 (1998).
M.K.S. Yeung and S.H. Strogatz. Time delay in the Kuramoto model of coupled oscillators. Physical Review Letters 82, 648-651 (1999).
S.H. Strogatz. From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators. Physica D 143, 1-20 (2000).
D.S. Callaway, M.E.J. Newman, S.H. Strogatz, and D.J. Watts. Network robustness and fragility: Percolation on random graphs. Physical Review Letters 85, 5468-5471 (2000).
S.H. Strogatz. Exploring complex networks. (Invited Insight article) Nature 410, 268-276 (2001).
J.T. Ariaratnam and S.H. Strogatz. Phase diagram for the Winfree model of coupled oscillators. Physical Review Letters 86, 4278-4281 (2001).
R.A. Oliva and S.H. Strogatz. Dynamics of a large array of globally coupled lasers with distributed frequencies. International Journal of Bifurcation and Chaos 11, 2359-2374 (2001).
M.E.J. Newman, S.H. Strogatz, and D.J. Watts. Random graphs with arbitrary degree distribution and their applications. Physical Review E 6402 (2): 6118-+ (2001).
D.S. Callaway, J.E. Hopcroft, J.M. Kleinberg, M.E.J. Newman, and S.H. Strogatz. Are randomly grown graphs really random? Physical Review E 6404 (4): 1902-+ (2001).
M.E.J. Newman, D.J. Watts, and S.H. Strogatz. Random graph models of social networks. Proceedings of the National Academy of Sciences USA 99, 2566-2572 (2002).
M. Girvan, D.S. Callaway, M.E.J. Newman, and S.H. Strogatz. A simple model of epidemics with pathogen mutation. Physical Review E 65, 031915 (2002).
S.H. Strogatz. Fermi’s ‘little discovery’ and the future of chaos and complexity theory. In: The Next Fifty Years: Science in the First Half of the Twenty-First Century (edited by John Brockman, Vintage Books, New York, 2002).
M.G. Earl and S.H. Strogatz. Synchronization in oscillator networks with delayed coupling: A stability criterion. Physical Review E 67, 036204 (2003).
D.M. Abrams and S.H. Strogatz. Modelling the dynamics of language death. Nature 424, 900 (2003).
S. Strogatz. The math of the real world. In: Curious Minds: How a Child Becomes a Scientist (edited by John Brockman, Pantheon Books, New York, 2004).
J. Garcia-Ojalvo, M.B. Elowitz, and S.H. Strogatz. Modeling a multicellular clock: Repressilators coupled by quorum sensing. Proceedings of the National Academy of Sciences USA 101, 10955-10960 (2004).
D.M. Abrams and S.H. Strogatz. Chimera states for coupled oscillators. Physical Review Letters 93, 174102 (2004).
S.H. Strogatz. Romanesque networks (Invited News and Views article). Nature 433, 365-366 (2005).
R.E. Mirollo and S.H. Strogatz. The spectrum of the locked state for the Kuramoto model of coupled oscillators. Physica D 205, 249-266 (2005).
S.H. Strogatz, D.M. Abrams, A. McRobie, B. Eckhardt, and E. Ott. Crowd synchrony on the Millennium Bridge. Nature 438, 43-44 (2005).
D.M. Abrams and S.H. Strogatz. Chimera states in rings of nonlocally coupled oscillators. International Journal of Bifurcation and Chaos 16, 21-37 (2006).
D.A. Wiley, S.H. Strogatz, and M. Girvan. The size of the sync basin. Chaos 16, 015103 (2006).
S. Strogatz. A walk down Mercer Street. In: My Einstein: Essays by Twenty-four of the World’s Leading Thinkers on the Man, His Work, and His Legacy (edited by John Brockman, Pantheon Books, New York, 2006).
B. Eckhardt, E. Ott, S.H. Strogatz, D.M. Abrams, and A. McRobie. Modeling walker synchronization on the Millennium Bridge. Physical Review E 75, 021110 (2007).
D.D. Quinn, R.H. Rand, and S.H. Strogatz. Singular unlocking transition in the Winfree model of coupled oscillators. Physical Review E 75, 036218 (2007).
R. Mirollo and S.H. Strogatz. The spectrum of the partially locked state for the Kuramoto model. Journal of Nonlinear Science 17, 309-347 (2007).
S. Strogatz. The end of insight. In: What is Your Dangerous Idea? Today's Leading Thinkers on the Unthinkable (edited by John Brockman, Harper Perennial, New York, 2007), pp.130-131.
S. Strogatz. Understanding sleep. In: What Are You Optimistic About? Today’s Leading Thinkers on Why Things are Good and Getting Better (edited by John Brockman, Harper Perennial, New York, 2007), pp. 337-339.
S. Arbesman and S. Strogatz. A journey to baseball’s alternate universe. The New York Times, Sunday Op-Ed page, March 30 (2008).
D.M. Abrams, R. Mirollo, S.H. Strogatz, and D.A. Wiley. Solvable model for chimera states of coupled oscillators. Physical Review Letters 101, 084103 (2008); see also Erratum, Physical Review Letters 101, 129902 (2008).
O. Simeone, U. Spagnolini, Y. Bar-Ness, and S.H. Strogatz. Distributed synchronization in wireless networks. IEEE Signal Processing Magazine 25 (5), 81-97 (2008).
L.M. Childs and S.H. Strogatz. Stability diagram for the forced Kuramoto model. Chaos 18, 043128 (2008).
S. Arbesman, J. Kleinberg, and S.H. Strogatz. Superlinear scaling for innovation in cities. Physical Review E 79, 016115 (2009).
E.A. Martens, E. Barreto, S.H. Strogatz, E. Ott, P. So, and T.M. Antonsen. Exact results for the Kuramoto model with a bimodal frequency distribution. Physical Review E 79, 026204 (2009).
S.A. Marvel and S.H. Strogatz. Invariant submanifold for series arrays of Josephson junctions. Chaos 19, 013132 (2009).
S.A. Marvel, R.E. Mirollo and S.H. Strogatz. Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action. Chaos 19, 043104 (2009).
S.A. Marvel, S.H. Strogatz and J.M. Kleinberg. Energy landscape of social balance. Physical Review Letters 103, 198701 (2009).
E.A. Martens, C.R. Laing and S.H. Strogatz. Solvable model of spiral wave chimeras. Physical Review Letters 104, 044101 (2010).
S. Arbesman, S.H. Strogatz and M.S. Vitevitch. Comparative analysis of networks of phonologically similar words in English and Spanish. Entropy 12, 327-337 (2010).
S. Arbesman, S.H. Strogatz and M.S. Vitevitch. The structure of phonological networks across multiple languages. International Journal of Bifurcation and Chaos 20, 679-685 (2010).
C. Ratti, S. Sobolevsky, F. Calabrese, C. Andris, J. Reades, M. Martino, R. Claxton and S.H. Strogatz. Redrawing the map of Great Britain from a network of human interactions. PLoS ONE 5, e14248 (2010).
S.A. Marvel, J. Kleinberg, R.D. Kleinberg and S.H. Strogatz. Continuous-time model of structural balance. Proceedings of the National Academy of Sciences 108, 1771-1776 (2011).
H. Hong and S.H. Strogatz. Kuramoto model of coupled oscillators with positive and negative coupling parameters: An example of conformist and contrarian oscillators. Physical Review Letters 106, 054102 (2011).
L.M. Childs, M. Paskow, S. Morris, M. Hesse and S. Strogatz. From inflammation to wound healing: using a simple model to understand the functional versatility of murine macrophages. Bulletin of Mathematical Biology, doi:10.1007/s11538-011-9637-5 (2011).
H. Hong and S.H. Strogatz. Conformists and contrarians in a Kuramoto model with identical natural frequencies. Physical Review E 84, 046202 (2011).
T.P. Novikoff, J.M. Kleinberg and S.H. Strogatz. Education of a model student. Proceedings of the National Academy of Sciences (2012). doi:10.1073/pnas.1109863109
H. Hong and S.H. Strogatz. Mean-field behavior in coupled oscillators with attractive and repulsive interactions. Physical Review E 85, 056210 (2012).
S.A. Marvel, H. Hong, A. Papush, and S.H. Strogatz. Encouraging moderation: Clues from a simple model of ideological conflict. Physical Review Letters 109, 118702 (2012).
S. Strogatz. Estimating the torsional rigidity of DNA from supercoiling data. Journal of Chemical Physics 77, 580-581 (1982).
S. Strogatz. Topology of zig-zag chromatin. Journal of Theoretical Biology 103, 601-607 (1983).
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. I. Geometrically simple waves. Physica D 8, 35-49 (1983).
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. II. Twisted waves. Physica D 9, 65-80 (1983).
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. III. Knotted waves. Physica D 9, 333-345 (1983).
A.T. Winfree and S.H. Strogatz. Singular filaments organize chemical waves in three dimensions. IV. Wave taxonomy. Physica D 13, 221-233 (1984).
S.H. Strogatz, M.L. Prueitt, and A.T. Winfree. Exotic shapes in chemistry and biology. IEEE Computer Graphics and Applications 4 (1), 66-69 (1984).
A.T. Winfree and S.H. Strogatz. Organising centres for three-dimensional chemical waves. Nature 311, 611-615 (1984).
S. Strogatz. Yeast oscillations, Belousov-Zhabotinsky waves, and the non-retraction theorem. Mathematical Intelligencer 7 (2), 9-17 (1985).
S.H. Strogatz and R.E. Kronauer. Circadian wake-maintenance zones and insomnia in man. Sleep Research 14, 219 (1985).
S.H. Strogatz, R.E. Kronauer, and C.A. Czeisler. Circadian regulation dominates homeostatic control of sleep length and prior wake length in humans. Sleep 9, 353-364 (1986).
C.A. Czeisler, J.S. Allan, S.H. Strogatz, J.M. Ronda, R. Sanchez, C.D. Rios, W.O. Freitag, G.S. Richardson, and R.E. Kronauer. Bright light resets the human circadian pacemaker independent of the timing of the sleep-wake cycle. Science 233, 667-671 (1986).
S.H. Strogatz. A comparative analysis of models of the human sleep-wake cycle. In: Lectures on Mathematics in the Life Sciences, Vol. 19: ed. G. Carpenter, American Mathematical Society, Providence, pp. 1-37 (1987).
S.H. Strogatz, R.E. Kronauer, and C.A. Czeisler. Circadian pacemaker interferes with sleep onset at specific times each day: role in insomnia. American Journal of Physiology 253, R172-R178 (1987).
S.H. Strogatz. Human sleep and circadian rhythms: a simple model based on two coupled oscillators. Journal of Mathematical Biology 25, 327-347 (1987).
S.H. Strogatz. Author's summary in Open Peer Commentary on "The Mathematical Structure of the Human Sleep-Wake Cycle." Journal of Biological Rhythms 2, 317-321 (1987).
S.H. Strogatz. Love affairs and differential equations. Mathematics Magazine 61, 35 (1988).
S.H. Strogatz and R.E. Mirollo. Phase-locking and critical phenomena in lattices of coupled nonlinear oscillators with random intrinsic frequencies. Physica D 31, 143-168 (1988).
S.H. Strogatz and R.E. Mirollo. Collective synchronisation in lattices of non-linear oscillators with randomness. Journal of Physics A: Mathematical and General 21, L699-L705 (1988).
S.H. Strogatz, C.M. Marcus, R.M. Westervelt, and R.E. Mirollo. Simple model of collective transport with phase slippage. Physical Review Letters 61, 2380-2383 (1988).
S.H. Strogatz, C.M. Marcus, R.M. Westervelt, and R.E. Mirollo. Collective dynamics of coupled oscillators with random pinning. Physica D 36, 23-50 (1989).
C.M. Marcus, S.H. Strogatz, and R.M. Westervelt. Delayed switching in a phase-slip model of charge-density wave transport. Physical Review B 40, 5588-5592 (1989).
S.H. Strogatz and R.M. Westervelt. Predicted power laws for delayed switching of charge-density waves. Physical Review B 40, 10501-10508 (1989).
R.E. Mirollo and S.H. Strogatz. Jump bifurcations and hysteresis in an infinite-dimensional dynamical system of coupled spins. SIAM Journal on Applied Mathematics 50, 108-124 (1990).
S.H. Strogatz. Interpreting the human phase response curve to multiple bright-light exposures. Journal of Biological Rhythms 5, 169-174 (1990).
R.E. Mirollo and S.H. Strogatz. Amplitude death in an array of limit-cycle oscillators. Journal of Statistical Physics 60, 245-262 (1990).
P.C. Matthews and S.H. Strogatz. Phase diagram for the collective behavior of limit-cycle oscillators. Physical Review Letters 65, 1701-1704 (1990).
R.E. Mirollo and S.H. Strogatz. Synchronization of pulse-coupled biological oscillators. SIAM Journal on Applied Mathematics 50, 1645-1662 (1990).
R.E. Mirollo and S.H. Strogatz. Integral representation of a finite spike. American Mathematical Monthly 97, 901-903 (1990).
P.C. Matthews and S.H. Strogatz. Chaotic mappings and probability distributions. College Mathematics Journal 22, 45-47 (1991).
K.Y. Tsang, S.H. Strogatz, and K. Wiesenfeld. Reversibility and noise sensitivity of Josephson arrays. Physical Review Letters 66, 1094-1097 (1991).
K.Y. Tsang, R.E. Mirollo, S.H. Strogatz, and K. Wiesenfeld. Dynamics of a globally coupled oscillator array. Physica D 48, 102-112 (1991).
S.H. Strogatz and R.E. Mirollo. Stability of incoherence in a population of coupled oscillators. Journal of Statistical Physics 63, 613-635 (1991).
P.C. Matthews, R.E. Mirollo, and S.H. Strogatz. Dynamics of a large system of coupled nonlinear oscillators. Physica D 52, 293-331 (1991).
H.A. Stone, A. Nadim, and S.H. Strogatz. Chaotic streamlines inside drops immersed in steady Stokes flows. Journal of Fluid Mechanics 232, 629-646 (1991).
J.J. Tyson and S.H. Strogatz. The differential geometry of scroll waves. International Journal of Bifurcations and Chaos 1, 723-744 (1991).
J.W. Swift, S.H. Strogatz, and K. Wiesenfeld. Averaging of globally coupled oscillators. Physica D 55, 239-250 (1992).
S.H. Strogatz, R.E. Mirollo, and P.C. Matthews. Coupled nonlinear oscillators below the synchronization threshold: relaxation by generalized Landau damping. Physical Review Letters 68, 2730-2733 (1992).
S.H. Strogatz and R.E. Mirollo. Splay states in globally coupled Josephson arrays: analytical prediction of Floquet multipliers. Physical Review E 47, 220-227 (1993).
S. Watanabe and S.H. Strogatz. Integrability of a globally coupled oscillator array. Physical Review Letters 70, 2391-2394 (1993).
S.H. Strogatz and I. Stewart. Coupled oscillators and biological synchronization. Scientific American 269 (6), December, 102-109 (1993).
K.M. Cuomo, A.V. Oppenheim, and S.H. Strogatz. Synchronization of Lorenz-based chaotic circuits, with applications to communications. IEEE Transactions on Circuits and Systems II.40, 626-633 (1993).
K.M. Cuomo, A.V. Oppenheim, and S.H. Strogatz. Robustness and signal recovery in a synchronized chaotic system. International Journal of Bifurcations and Chaos 3, 1629-1638 (1993).
S.H. Strogatz. Norbert Wiener's brain waves. In Frontiers in Mathematical Biology, edited by S. Levin. Lecture Notes in Biomathematics, Vol. 100, Springer-Verlag, New York, pp. 122-138 (1994).
S. Watanabe and S.H. Strogatz. Constants of motion for superconducting Josephson arrays. Physica D 74, 197-253 (1994).
W.-J. Rappel and S.H.Strogatz. Stochastic resonance in an autonomous system with a nonuniform limit cycle. Physical Review E 50, 3249-3250 (1994).
H.S.J. van der Zant, T.P. Orlando, S. Watanabe, and S.H. Strogatz. Vortices trapped in discrete Josephson rings. Physica B 203, 490-496 (1994).
H.S.J. van der Zant, T.P. Orlando, S. Watanabe, and S.H. Strogatz. Kink propagation in a highly discrete system: observation of phase-locking to linear waves. Physical Review Letters 74, 174-177 (1995).
S. Watanabe, S.H. Strogatz, H.S.J. van der Zant, and T.P. Orlando. Whirling modes and parametric instabilities in the discrete sine-Gordon equation: experimental tests in Josephson rings. Physical Review Letters 74, 379-382 (1995).
P. Saha and S.H. Strogatz. The birth of period three. Mathematics Magazine 68 (1), 42-47 (1995).
Hohl, H.J.C van der Linden, R. Roy, G. Goldsztein, F. Broner, and S.H. Strogatz. Scaling laws for dynamical hysteresis in a multidimensional laser system. Physical Review Letters 74, 2220-2223 (1995).
G. Goldsztein and S.H. Strogatz. Stability of synchronization in a network of digital phase-locked loops. International Journal of Bifurcations and Chaos 5, 983-990 (1995).
S.H. Strogatz. Nonlinear dynamics: Ordering chaos with disorder. (Invited News and Views article) Nature 378, 444 (1995).
K. Wiesenfeld, P. Colet, and S.H. Strogatz. Synchronization transitions in a disordered Josephson series array. Physical Review Letters 76, 404-407 (1996).
A.E. Duwel, E. Trias, T.P. Orlando, H.S.J. van der Zant, S. Watanabe, and S.H. Strogatz. Resonance splitting in discrete planar arrays of Josephson junctions. Journal of Applied Physics 79, 7864-7870 (1996).
S. Watanabe, S.H. Strogatz, H.S.J. van der Zant, and T.P. Orlando. Dynamics of circular arrays of Josephson junctions and the discrete sine-Gordon equation. Physica D 97, 429-470 (1996).
G. Goldsztein, F. Broner, and S.H. Strogatz. Dynamical hysteresis without static hysteresis: Scaling laws and asymptotic expansions. SIAM Journal on Applied Mathematics 57, 1163-1187 (1997).
M. Barahona, E. Trias, T.P. Orlando, A.E. Duwel, H.S.J. van der Zant, S. Watanabe, and S.H. Strogatz. Resonances of dynamical checkerboard states in Josephson arrays with self-inductance. Physical Review B 55, R11989-R11992 (1997).
A.E. Duwel, S. Watanabe, E. Trias, T.P. Orlando, H.S.J. van der Zant, and S.H. Strogatz. Discreteness-induced resonances and AC voltage amplitudes in long one-dimensional Josephson junction arrays. Journal of Applied Physics 82, 4661-4668 (1997).
C. Liu, D.R. Weaver, S.H. Strogatz, and S.M. Reppert. Cellular construction of a circadian clock: Period determination in the suprachiasmatic nuclei. Cell 91, 855-860 (1997).
M. Barahona, S.H. Strogatz, and T.P. Orlando. Superconducting states and depinning transitions of Josephson ladders. Physical Review B 57, 1181-1199 (1998).
K. Wiesenfeld, P. Colet, and S.H. Strogatz. Frequency locking in Josephson arrays: Connection with the Kuramoto model. Physical Review E 57, 1563-1569 (1998).
D.J. Watts and S.H. Strogatz. Collective dynamics of 'small-world' networks. Nature 393, 440-442 (1998).
S.H. Strogatz. Nonlinear dynamics: Death by delay. (Invited News and Views article) Nature 394, 316-317 (1998).
M. Barahona and S.H. Strogatz. Pinned states in Josephson arrays: A general stability theorem. Physical Review B 58, 5215-5218 (1998).
A.E. Duwel, C.P. Heij, J.C. Weisenfeld, M.K.S. Yeung, E. Trias, S.J.K Vardy, H.S.J. van der Zant, S.H. Strogatz, and T.P. Orlando. Interactions of topological kinks in two coupled rings of nonlinear oscillators. Physical Review B 58, 8749-8754 (1998).
M.K.S. Yeung and S.H. Strogatz. Nonlinear dynamics of a solid-state laser with injection. Physical Review E 58, 4421-4435 (1998).
K.L. Turner, S.A. Miller, N.C. MacDonald, S.H. Strogatz, and S.G. Adams. Five parametric resonances in a microelectromechanical system. Nature 396, 149-152 (1998).
M.K.S. Yeung and S.H. Strogatz. Time delay in the Kuramoto model of coupled oscillators. Physical Review Letters 82, 648-651 (1999).
S.H. Strogatz. From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators. Physica D 143, 1-20 (2000).
D.S. Callaway, M.E.J. Newman, S.H. Strogatz, and D.J. Watts. Network robustness and fragility: Percolation on random graphs. Physical Review Letters 85, 5468-5471 (2000).
S.H. Strogatz. Exploring complex networks. (Invited Insight article) Nature 410, 268-276 (2001).
J.T. Ariaratnam and S.H. Strogatz. Phase diagram for the Winfree model of coupled oscillators. Physical Review Letters 86, 4278-4281 (2001).
R.A. Oliva and S.H. Strogatz. Dynamics of a large array of globally coupled lasers with distributed frequencies. International Journal of Bifurcation and Chaos 11, 2359-2374 (2001).
M.E.J. Newman, S.H. Strogatz, and D.J. Watts. Random graphs with arbitrary degree distribution and their applications. Physical Review E 6402 (2): 6118-+ (2001).
D.S. Callaway, J.E. Hopcroft, J.M. Kleinberg, M.E.J. Newman, and S.H. Strogatz. Are randomly grown graphs really random? Physical Review E 6404 (4): 1902-+ (2001).
M.E.J. Newman, D.J. Watts, and S.H. Strogatz. Random graph models of social networks. Proceedings of the National Academy of Sciences USA 99, 2566-2572 (2002).
M. Girvan, D.S. Callaway, M.E.J. Newman, and S.H. Strogatz. A simple model of epidemics with pathogen mutation. Physical Review E 65, 031915 (2002).
S.H. Strogatz. Fermi’s ‘little discovery’ and the future of chaos and complexity theory. In: The Next Fifty Years: Science in the First Half of the Twenty-First Century (edited by John Brockman, Vintage Books, New York, 2002).
M.G. Earl and S.H. Strogatz. Synchronization in oscillator networks with delayed coupling: A stability criterion. Physical Review E 67, 036204 (2003).
D.M. Abrams and S.H. Strogatz. Modelling the dynamics of language death. Nature 424, 900 (2003).
S. Strogatz. The math of the real world. In: Curious Minds: How a Child Becomes a Scientist (edited by John Brockman, Pantheon Books, New York, 2004).
J. Garcia-Ojalvo, M.B. Elowitz, and S.H. Strogatz. Modeling a multicellular clock: Repressilators coupled by quorum sensing. Proceedings of the National Academy of Sciences USA 101, 10955-10960 (2004).
D.M. Abrams and S.H. Strogatz. Chimera states for coupled oscillators. Physical Review Letters 93, 174102 (2004).
S.H. Strogatz. Romanesque networks (Invited News and Views article). Nature 433, 365-366 (2005).
R.E. Mirollo and S.H. Strogatz. The spectrum of the locked state for the Kuramoto model of coupled oscillators. Physica D 205, 249-266 (2005).
S.H. Strogatz, D.M. Abrams, A. McRobie, B. Eckhardt, and E. Ott. Crowd synchrony on the Millennium Bridge. Nature 438, 43-44 (2005).
D.M. Abrams and S.H. Strogatz. Chimera states in rings of nonlocally coupled oscillators. International Journal of Bifurcation and Chaos 16, 21-37 (2006).
D.A. Wiley, S.H. Strogatz, and M. Girvan. The size of the sync basin. Chaos 16, 015103 (2006).
S. Strogatz. A walk down Mercer Street. In: My Einstein: Essays by Twenty-four of the World’s Leading Thinkers on the Man, His Work, and His Legacy (edited by John Brockman, Pantheon Books, New York, 2006).
B. Eckhardt, E. Ott, S.H. Strogatz, D.M. Abrams, and A. McRobie. Modeling walker synchronization on the Millennium Bridge. Physical Review E 75, 021110 (2007).
D.D. Quinn, R.H. Rand, and S.H. Strogatz. Singular unlocking transition in the Winfree model of coupled oscillators. Physical Review E 75, 036218 (2007).
R. Mirollo and S.H. Strogatz. The spectrum of the partially locked state for the Kuramoto model. Journal of Nonlinear Science 17, 309-347 (2007).
S. Strogatz. The end of insight. In: What is Your Dangerous Idea? Today's Leading Thinkers on the Unthinkable (edited by John Brockman, Harper Perennial, New York, 2007), pp.130-131.
S. Strogatz. Understanding sleep. In: What Are You Optimistic About? Today’s Leading Thinkers on Why Things are Good and Getting Better (edited by John Brockman, Harper Perennial, New York, 2007), pp. 337-339.
S. Arbesman and S. Strogatz. A journey to baseball’s alternate universe. The New York Times, Sunday Op-Ed page, March 30 (2008).
D.M. Abrams, R. Mirollo, S.H. Strogatz, and D.A. Wiley. Solvable model for chimera states of coupled oscillators. Physical Review Letters 101, 084103 (2008); see also Erratum, Physical Review Letters 101, 129902 (2008).
O. Simeone, U. Spagnolini, Y. Bar-Ness, and S.H. Strogatz. Distributed synchronization in wireless networks. IEEE Signal Processing Magazine 25 (5), 81-97 (2008).
L.M. Childs and S.H. Strogatz. Stability diagram for the forced Kuramoto model. Chaos 18, 043128 (2008).
S. Arbesman, J. Kleinberg, and S.H. Strogatz. Superlinear scaling for innovation in cities. Physical Review E 79, 016115 (2009).
E.A. Martens, E. Barreto, S.H. Strogatz, E. Ott, P. So, and T.M. Antonsen. Exact results for the Kuramoto model with a bimodal frequency distribution. Physical Review E 79, 026204 (2009).
S.A. Marvel and S.H. Strogatz. Invariant submanifold for series arrays of Josephson junctions. Chaos 19, 013132 (2009).
S.A. Marvel, R.E. Mirollo and S.H. Strogatz. Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action. Chaos 19, 043104 (2009).
S.A. Marvel, S.H. Strogatz and J.M. Kleinberg. Energy landscape of social balance. Physical Review Letters 103, 198701 (2009).
E.A. Martens, C.R. Laing and S.H. Strogatz. Solvable model of spiral wave chimeras. Physical Review Letters 104, 044101 (2010).
S. Arbesman, S.H. Strogatz and M.S. Vitevitch. Comparative analysis of networks of phonologically similar words in English and Spanish. Entropy 12, 327-337 (2010).
S. Arbesman, S.H. Strogatz and M.S. Vitevitch. The structure of phonological networks across multiple languages. International Journal of Bifurcation and Chaos 20, 679-685 (2010).
C. Ratti, S. Sobolevsky, F. Calabrese, C. Andris, J. Reades, M. Martino, R. Claxton and S.H. Strogatz. Redrawing the map of Great Britain from a network of human interactions. PLoS ONE 5, e14248 (2010).
S.A. Marvel, J. Kleinberg, R.D. Kleinberg and S.H. Strogatz. Continuous-time model of structural balance. Proceedings of the National Academy of Sciences 108, 1771-1776 (2011).
H. Hong and S.H. Strogatz. Kuramoto model of coupled oscillators with positive and negative coupling parameters: An example of conformist and contrarian oscillators. Physical Review Letters 106, 054102 (2011).
L.M. Childs, M. Paskow, S. Morris, M. Hesse and S. Strogatz. From inflammation to wound healing: using a simple model to understand the functional versatility of murine macrophages. Bulletin of Mathematical Biology, doi:10.1007/s11538-011-9637-5 (2011).
H. Hong and S.H. Strogatz. Conformists and contrarians in a Kuramoto model with identical natural frequencies. Physical Review E 84, 046202 (2011).
T.P. Novikoff, J.M. Kleinberg and S.H. Strogatz. Education of a model student. Proceedings of the National Academy of Sciences (2012). doi:10.1073/pnas.1109863109
H. Hong and S.H. Strogatz. Mean-field behavior in coupled oscillators with attractive and repulsive interactions. Physical Review E 85, 056210 (2012).
S.A. Marvel, H. Hong, A. Papush, and S.H. Strogatz. Encouraging moderation: Clues from a simple model of ideological conflict. Physical Review Letters 109, 118702 (2012).
Editorial Boards
Editor, Princeton Studies in Complexity (2004-present)
Journal of Nonlinear Science (2003-2006)
International Journal of Bifurcation and Chaos (1999-present)
SIAM Review (1997-2002)
SIAM Journal on Applied Mathematics (1995–1998)
Journal of Nonlinear Science (2003-2006)
International Journal of Bifurcation and Chaos (1999-present)
SIAM Review (1997-2002)
SIAM Journal on Applied Mathematics (1995–1998)
