S H StrogatzSummaryAffiliation: Cornell University Country: USA Publications
 Collaborators

Detail Information
Publications
 Exploring complex networksS H Strogatz
Department of Theoretical and Applied Mechanics and Center for Applied Mathematics, Cornell University, Ithaca, New York 14853 1503, USA
Nature 410:26876. 2001..Researchers are only now beginning to unravel the structure and dynamics of complex networks...  Theoretical mechanics: crowd synchrony on the Millennium BridgeSteven H Strogatz
Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853 1503, USA
Nature 438:434. 2005..Our approach should help engineers to estimate the damping needed to stabilize other exceptionally crowded footbridges against synchronous lateral excitation by pedestrians...  Identical phase oscillators with global sinusoidal coupling evolve by Mobius group actionSeth A Marvel
Center for Applied Mathematics, Cornell University, Ithaca, New York 14853, USA
Chaos 19:043104. 2009..No further reduction is possible, in general; numerical experiments on models of Josephson junction arrays suggest that the invariant manifolds often contain threedimensional regions of neutrally stable chaos...  Invariant submanifold for series arrays of Josephson junctionsSeth A Marvel
Center for Applied Mathematics, Cornell University, Ithaca, New York 14853, USA
Chaos 19:013132. 2009..Our results recover (and in some instances improve) earlier findings based on linearization arguments...  Stability diagram for the forced Kuramoto modelLauren M Childs
Center for Applied Mathematics, Cornell University, Ithaca, New York 14853, USA
Chaos 18:043128. 2008..Exact results are obtained for the locations of Hopf, saddlenode, and TakensBogdanov bifurcations. The resulting stability diagram bears a striking resemblance to that for the weakly nonlinear forced van der Pol oscillator...  Modeling a synthetic multicellular clock: repressilators coupled by quorum sensingJordi GarciaOjalvo
Center for Applied Mathematics, Cornell University, Ithaca, NY 14853, USA
Proc Natl Acad Sci U S A 101:1095560. 2004..As such, the particular system of coupled genetic oscillators considered here might be a good candidate to provide the first quantitative example of a synchronization transition in a population of biological oscillators...  Collective dynamics of 'smallworld' networksD J Watts
Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853, USA
Nature 393:4402. 1998..In particular, infectious diseases spread more easily in smallworld networks than in regular lattices...  Simple model of epidemics with pathogen mutationMichelle Girvan
Department of Physics, Cornell University, Ithaca, New York 14853 2501, USA
Phys Rev E Stat Nonlin Soft Matter Phys 65:031915. 2002..We analyze both models to determine the location of each transition. Our main result is that pathogens in highly connected populations must mutate rapidly in order to remain viable...  Solvable model for chimera states of coupled oscillatorsDaniel M Abrams
Department of Earth, Atmospheric, and Planetary Sciences, 54 621, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
Phys Rev Lett 101:084103. 2008..Along with a completely synchronous state, the system displays stable chimeras, breathing chimeras, and saddlenode, Hopf, and homoclinic bifurcations of chimeras...  Modeling walker synchronization on the Millennium BridgeBruno Eckhardt
Fachbereich Physik, Philipps Universitat Marburg, D 35032 Marburg, Germany
Phys Rev E Stat Nonlin Soft Matter Phys 75:021110. 2007..They allow prediction of the amplitude of bridge motion, the rate of relaxation to the synchronized state and the magnitude of the fluctuations due to a finite number of people...