9 Citations (Scopus)

Abstract

We develop and validate an algorithm for integrating stochastic differential equations under green noise. Utilizing it and the standard methods for computing dynamical systems under red and white noise, we address the problem of synchronization among chaotic oscillators in the presence of common colored noise. We find that colored noise can induce synchronization, but the onset of synchronization, as characterized by the value of the critical noise amplitude above which synchronization occurs, can be different for noise of different colors. A formula relating the critical noise amplitudes among red, green, and white noise is uncovered, which holds for both complete and phase synchronization. The formula suggests practical strategies for controlling the degree of synchronization by noise, e.g., utilizing noise filters to suppress synchronization.

Original languageEnglish (US)
Article number056210
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume79
Issue number5
DOIs
StatePublished - May 12 2009

Fingerprint

Colored Noise
Chaotic System
synchronism
Synchronization
White noise
Chaotic Oscillator
Phase Synchronization
white noise
Stochastic Equations
Dynamical system
Filter
Differential equation
Computing
dynamical systems
differential equations
oscillators

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Onset of colored-noise-induced synchronization in chaotic systems. / Wang, Yan; Lai, Ying-Cheng; Zheng, Zhigang.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 79, No. 5, 056210, 12.05.2009.

Research output: Contribution to journalArticle

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AB - We develop and validate an algorithm for integrating stochastic differential equations under green noise. Utilizing it and the standard methods for computing dynamical systems under red and white noise, we address the problem of synchronization among chaotic oscillators in the presence of common colored noise. We find that colored noise can induce synchronization, but the onset of synchronization, as characterized by the value of the critical noise amplitude above which synchronization occurs, can be different for noise of different colors. A formula relating the critical noise amplitudes among red, green, and white noise is uncovered, which holds for both complete and phase synchronization. The formula suggests practical strategies for controlling the degree of synchronization by noise, e.g., utilizing noise filters to suppress synchronization.

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