Coherence Resonance in Coupled Chaotic Oscillators

Zonghua Liu and Ying-Cheng Lai
Phys. Rev. Lett. 86, 4737 – Published 21 May 2001
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Abstract

Existing works on coherence resonance, i.e., the phenomenon of noise-enhanced temporal regularity, focus on excitable dynamical systems such as those described by the FitzHugh-Nagumo equations. We extend the scope of coherence resonance to an important class of dynamical systems: coupled chaotic oscillators. In particular, we show that, when a system of coupled chaotic oscillators is under the influence of noise, the degree of temporal regularity of dynamical variables characterizing the difference among the oscillators can increase and reach a maximum value at some optimal noise level. We present numerical results illustrating the phenomenon and give a physical theory to explain it.

  • Received 2 November 2000

DOI:https://doi.org/10.1103/PhysRevLett.86.4737

©2001 American Physical Society

Authors & Affiliations

Zonghua Liu1 and Ying-Cheng Lai1,2

  • 1Department of Mathematics, Center for Systems Science and Engineering Research, Arizona State University, Tempe, Arizona 85287
  • 2Departments of Electrical Engineering and Physics, Arizona State University, Tempe, Arizona 85287

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Vol. 86, Iss. 21 — 21 May 2001

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