Noise-induced transition from periodic to chaotic synchronization in coupled limit cycle oscillators

A solvable model of noise effects on globally coupled limit cycle oscillators is proposed. These oscillators are subject to the influence of independent and additive white Gaussian noise. The averaged motion equation of the system with infinitely coupled oscillators is derived without any approximat...

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Bibliographic Details
Published inEurophysics letters Vol. 150; no. 4; pp. 40002 - 40006
Main Authors Okumura, K., Ichiki, A.
Format Journal Article
LanguageEnglish
Published Les Ulis EDP Sciences, IOP Publishing and Società Italiana di Fisica 01.05.2025
IOP Publishing
Subjects
Equations of motion
Fokker-Planck equation
Noise intensity
Oscillators
Random noise
Synchronism
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ISSN0295-5075
1286-4854
1286-4854
DOI10.1209/0295-5075/add208

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Summary:A solvable model of noise effects on globally coupled limit cycle oscillators is proposed. These oscillators are subject to the influence of independent and additive white Gaussian noise. The averaged motion equation of the system with infinitely coupled oscillators is derived without any approximation through an analysis based on the nonlinear Fokker-Planck equation. It is demonstrated that with an increase in the noise intensity, a transition from periodic synchronization to chaotic synchronization occurs, which is associated with the emergence of macroscopic chaotic behavior.
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ISSN:0295-5075
1286-4854
1286-4854
DOI:10.1209/0295-5075/add208