Crisis and stochastic resonance in Shinriki's circuit

Thomas Stemler; J.P. Werner; H. Benner

doi:10.1016/j.physd.2007.11.009

Crisis and stochastic resonance in Shinriki's circuit

Thomas Stemler, J.P. Werner, H. Benner

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

14 Citations (Scopus)

Abstract

In nonlinear electronic oscillators of the Chua type the merging of two precritical attractors leads to crisis-induced chaos–chaos intermittency. This behavior can be induced either by addition of noise to the precritical system or by variation of a control parameter. Close to such a crisis small periodic signals can be enhanced by the addition of noise via the mechanism of stochastic resonance. We present an experimental observation of this effect as well as a thorough description of the critical behavior of the system.

Original language	English
Pages (from-to)	859-865
Journal	Physica D : Nonlinear Phenomena
Volume	237
Issue number	6
DOIs	https://doi.org/10.1016/j.physd.2007.11.009
Publication status	Published - 2008

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title = "Crisis and stochastic resonance in Shinriki's circuit",

abstract = "In nonlinear electronic oscillators of the Chua type the merging of two precritical attractors leads to crisis-induced chaos–chaos intermittency. This behavior can be induced either by addition of noise to the precritical system or by variation of a control parameter. Close to such a crisis small periodic signals can be enhanced by the addition of noise via the mechanism of stochastic resonance. We present an experimental observation of this effect as well as a thorough description of the critical behavior of the system.",

author = "Thomas Stemler and J.P. Werner and H. Benner",

year = "2008",

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TY - JOUR

T1 - Crisis and stochastic resonance in Shinriki's circuit

AU - Stemler, Thomas

AU - Werner, J.P.

AU - Benner, H.

PY - 2008

Y1 - 2008

N2 - In nonlinear electronic oscillators of the Chua type the merging of two precritical attractors leads to crisis-induced chaos–chaos intermittency. This behavior can be induced either by addition of noise to the precritical system or by variation of a control parameter. Close to such a crisis small periodic signals can be enhanced by the addition of noise via the mechanism of stochastic resonance. We present an experimental observation of this effect as well as a thorough description of the critical behavior of the system.

AB - In nonlinear electronic oscillators of the Chua type the merging of two precritical attractors leads to crisis-induced chaos–chaos intermittency. This behavior can be induced either by addition of noise to the precritical system or by variation of a control parameter. Close to such a crisis small periodic signals can be enhanced by the addition of noise via the mechanism of stochastic resonance. We present an experimental observation of this effect as well as a thorough description of the critical behavior of the system.

U2 - 10.1016/j.physd.2007.11.009

DO - 10.1016/j.physd.2007.11.009

M3 - Article

SN - 0167-2789

VL - 237

SP - 859

EP - 865

JO - Physica D : Nonlinear Phenomena

JF - Physica D : Nonlinear Phenomena

IS - 6

ER -

Crisis and stochastic resonance in Shinriki's circuit

Abstract

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