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

Ying Zhang; Gang Hu; Shi Gang Chen; Yugui Yao

doi:10.1007/s100510051099

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

Ying Zhang^*
, Gang Hu
, Shi Gang Chen
, Yugui Yao

^*Corresponding author for this work

IAPCM
China Center of Advanced Science and Technology World Laboratory
Beijing Normal University
CAS - Institute of Physics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	51-57
Number of pages	7
Journal	European Physical Journal B
Volume	15
Issue number	1
DOIs	https://doi.org/10.1007/s100510051099
Publication status	Published - 1 May 2000
Externally published	Yes

Keywords

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

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10.1007/s100510051099

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title = "Noise-induced bifurcations and chaos in the average motion of globally-coupled oscillators",

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.",

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

author = "Ying Zhang and Gang Hu and Chen, \{Shi Gang\} and Yugui Yao",

year = "2000",

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doi = "10.1007/s100510051099",

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T1 - Noise-induced bifurcations and chaos in the average motion of globally-coupled oscillators

AU - Zhang, Ying

AU - Hu, Gang

AU - Chen, Shi Gang

AU - Yao, Yugui

PY - 2000/5/1

Y1 - 2000/5/1

N2 - 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.

AB - 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.

KW - 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion

KW - 05.45.-a Nonlinear dynamics and nonlinear dynamical systems

UR - https://www.scopus.com/pages/publications/0039250260

U2 - 10.1007/s100510051099

DO - 10.1007/s100510051099

M3 - Article

AN - SCOPUS:0039250260

SN - 1434-6028

VL - 15

SP - 51

EP - 57

JO - European Physical Journal B

JF - European Physical Journal B

IS - 1

ER -

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

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Keywords

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