Two distinct mechanisms of coherence in randomly perturbed dynamical systems

Document Type

Article

Publication Date

9-1-2005

Abstract

We carefully examine two mechanisms-coherence resonance and self-induced stochastic resonance-by which small random perturbations of excitable systems with large time scale separation may lead to the emergence of new coherent behaviors in the form of limit cycles. We analyze what controls the degree of coherence in these two mechanisms and classify their very different properties. In particular we show that coherence resonance arises only at the onset of bifurcation and is rather insensitive against variations in the noise amplitude and the time scale separation ratio. In contrast, self-induced stochastic resonance may arise away from bifurcations and the properties of the limit cycle it induces are controlled by both the noise amplitude and the time scale separation ratio. © 2005 The American Physical Society.

Identifier

28844486373 (Scopus)

Publication Title

Physical Review E Statistical Nonlinear and Soft Matter Physics

External Full Text Location

https://doi.org/10.1103/PhysRevE.72.031105

e-ISSN

15502376

ISSN

15393755

Issue

3

Volume

72

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