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Noise-induced bifurcations and chaos in the average motion of globally-coupled oscillators

  • Ying Zhang
  • Gang Hu
  • Shi Gang Chen
  • Yugui Yao
Article
  • 62 Downloads

Abstract:

A system of coupled master equations simplified from a model of noise-driven globally coupled bistable oscillators under periodic forcing is investigated. In the thermodynamic limit, the system is reduced to a set of two coupled differential equations. Rich bifurcations to subharmonics and chaotic motions are found. This behavior can be found only for certain intermediate noise intensities. Noise with intensities which are too small or too large will certainly spoil the bifurcations. In a system with large though finite size, the bifurcations to chaos induced by noise can still be detected to a certain degree.

PACS. 05.45.-a Nonlinear dynamics and nonlinear dynamical systems - 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion 

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Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2000

Authors and Affiliations

  • Ying Zhang
    • 1
  • Gang Hu
    • 2
  • Shi Gang Chen
    • 1
  • Yugui Yao
    • 3
  1. 1.LCP,Institute of Applied Physics and Computational MathematicsBeijingChina
  2. 2.CCAST(World Laboratory)BeijingChina
  3. 3.State Key Laboratory for Surface PhysicsInstitute of Physics & Center for Condensed Matter PhysicsBeijingChina

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