S H Strogatz

Summary

Affiliation: Cornell University
Country: USA

Publications

  1. ncbi request reprint Exploring complex networks
    S H Strogatz
    Department of Theoretical and Applied Mechanics and Center for Applied Mathematics, Cornell University, Ithaca, New York 14853 1503, USA
    Nature 410:268-76. 2001
  2. ncbi request reprint Theoretical mechanics: crowd synchrony on the Millennium Bridge
    Steven H Strogatz
    Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853 1503, USA
    Nature 438:43-4. 2005
  3. doi request reprint Identical phase oscillators with global sinusoidal coupling evolve by Mobius group action
    Seth A Marvel
    Center for Applied Mathematics, Cornell University, Ithaca, New York 14853, USA
    Chaos 19:043104. 2009
  4. doi request reprint Invariant submanifold for series arrays of Josephson junctions
    Seth A Marvel
    Center for Applied Mathematics, Cornell University, Ithaca, New York 14853, USA
    Chaos 19:013132. 2009
  5. doi request reprint Stability diagram for the forced Kuramoto model
    Lauren M Childs
    Center for Applied Mathematics, Cornell University, Ithaca, New York 14853, USA
    Chaos 18:043128. 2008
  6. pmc Modeling a synthetic multicellular clock: repressilators coupled by quorum sensing
    Jordi Garcia-Ojalvo
    Center for Applied Mathematics, Cornell University, Ithaca, NY 14853, USA
    Proc Natl Acad Sci U S A 101:10955-60. 2004
  7. ncbi request reprint Collective dynamics of 'small-world' networks
    D J Watts
    Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853, USA
    Nature 393:440-2. 1998
  8. ncbi request reprint Simple model of epidemics with pathogen mutation
    Michelle Girvan
    Department of Physics, Cornell University, Ithaca, New York 14853 2501, USA
    Phys Rev E Stat Nonlin Soft Matter Phys 65:031915. 2002
  9. ncbi request reprint Solvable model for chimera states of coupled oscillators
    Daniel 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
  10. ncbi request reprint Modeling walker synchronization on the Millennium Bridge
    Bruno Eckhardt
    Fachbereich Physik, Philipps Universitat Marburg, D 35032 Marburg, Germany
    Phys Rev E Stat Nonlin Soft Matter Phys 75:021110. 2007

Collaborators

Detail Information

Publications10

  1. ncbi request reprint Exploring complex networks
    S H Strogatz
    Department of Theoretical and Applied Mechanics and Center for Applied Mathematics, Cornell University, Ithaca, New York 14853 1503, USA
    Nature 410:268-76. 2001
    ..Researchers are only now beginning to unravel the structure and dynamics of complex networks...
  2. ncbi request reprint Theoretical mechanics: crowd synchrony on the Millennium Bridge
    Steven H Strogatz
    Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853 1503, USA
    Nature 438:43-4. 2005
    ..Our approach should help engineers to estimate the damping needed to stabilize other exceptionally crowded footbridges against synchronous lateral excitation by pedestrians...
  3. doi request reprint Identical phase oscillators with global sinusoidal coupling evolve by Mobius group action
    Seth 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 three-dimensional regions of neutrally stable chaos...
  4. doi request reprint Invariant submanifold for series arrays of Josephson junctions
    Seth 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...
  5. doi request reprint Stability diagram for the forced Kuramoto model
    Lauren 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, saddle-node, and Takens-Bogdanov bifurcations. The resulting stability diagram bears a striking resemblance to that for the weakly nonlinear forced van der Pol oscillator...
  6. pmc Modeling a synthetic multicellular clock: repressilators coupled by quorum sensing
    Jordi Garcia-Ojalvo
    Center for Applied Mathematics, Cornell University, Ithaca, NY 14853, USA
    Proc Natl Acad Sci U S A 101:10955-60. 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...
  7. ncbi request reprint Collective dynamics of 'small-world' networks
    D J Watts
    Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853, USA
    Nature 393:440-2. 1998
    ..In particular, infectious diseases spread more easily in small-world networks than in regular lattices...
  8. ncbi request reprint Simple model of epidemics with pathogen mutation
    Michelle 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...
  9. ncbi request reprint Solvable model for chimera states of coupled oscillators
    Daniel 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 saddle-node, Hopf, and homoclinic bifurcations of chimeras...
  10. ncbi request reprint Modeling walker synchronization on the Millennium Bridge
    Bruno 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...