Aperiodic stochastic resonance and phase synchronization

Kwangho Park; Ying-Cheng Lai; Zonghua Liu; Arje Nachman

doi:10.1016/j.physleta.2004.04.072

Aperiodic stochastic resonance and phase synchronization

Kwangho Park, Ying-Cheng Lai, Zonghua Liu, Arje Nachman

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45 Scopus citations

Abstract

Aperiodic stochastic resonance and phase synchronization have been considered as different phenomena in nonlinear physics which were discovered at about the same time. The former means enhancement of aperiodic signals by noise, while the latter characterizes a phase coherence in weakly coupled nonlinear oscillators. Here we show that aperiodic stochastic resonance is related to phase synchronization between the input and output signals. We introduce a measure to characterize the degree of phase synchronization and show its equivalence to a commonly used measure to quantify aperiodic stochastic resonance.

Original language	English (US)
Pages (from-to)	391-396
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	326
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physleta.2004.04.072
State	Published - Jun 14 2004

Keywords

02.50.-r
05.40.-a

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/j.physleta.2004.04.072

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AU - Park, Kwangho

AU - Lai, Ying-Cheng

AU - Liu, Zonghua

AU - Nachman, Arje

N1 - Funding Information: This work is supported by AFOSR under Grant No. F49620-03-1-0290.

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Y1 - 2004/6/14

N2 - Aperiodic stochastic resonance and phase synchronization have been considered as different phenomena in nonlinear physics which were discovered at about the same time. The former means enhancement of aperiodic signals by noise, while the latter characterizes a phase coherence in weakly coupled nonlinear oscillators. Here we show that aperiodic stochastic resonance is related to phase synchronization between the input and output signals. We introduce a measure to characterize the degree of phase synchronization and show its equivalence to a commonly used measure to quantify aperiodic stochastic resonance.

AB - Aperiodic stochastic resonance and phase synchronization have been considered as different phenomena in nonlinear physics which were discovered at about the same time. The former means enhancement of aperiodic signals by noise, while the latter characterizes a phase coherence in weakly coupled nonlinear oscillators. Here we show that aperiodic stochastic resonance is related to phase synchronization between the input and output signals. We introduce a measure to characterize the degree of phase synchronization and show its equivalence to a commonly used measure to quantify aperiodic stochastic resonance.

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Aperiodic stochastic resonance and phase synchronization

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Keywords

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