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Noise-induced bifurcations and chaos in the average motion of globally-coupled oscillators |
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| Authors: | Ying Zhang Gang Hu Shi Gang Chen Yugui Yao |
| Affiliation: | (1) LCP, Institute of Applied Physics and Computational Mathematics, PO Box 8009(26), Beijing 100088, P.R. China, CN;(2) CCAST (World Laboratory), PO Box 8730, Beijing 100080, P.R. China, CN;(3) Physics Department, Beijing Normal University, Beijing 100875, P.R. China, CN;(4) State Key Laboratory for Surface Physics, Institute of Physics & Center for Condensed Matter Physics, PO Box 603-4-0, Beijing 100080, P.R. China, CN |
| 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. Received 6 April 1999 and Received in final form 1 November 1999 |
| Keywords: | 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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