| Issue |
EPL
Volume 150, Number 4, May 2025
|
|
|---|---|---|
| Article Number | 40002 | |
| Number of page(s) | 5 | |
| Section | General physics | |
| DOI | https://doi.org/10.1209/0295-5075/add208 | |
| Published online | 16 May 2025 | |
Noise-induced transition from periodic to chaotic synchronization in coupled limit cycle oscillators
1 Center for Data Science and Artificial Intelligence Education, Institute of Science Tokyo - Tokyo 152-8550, Japan
2 Department of Applied Mathematics, Faculty of Science, Fukuoka University - Fukuoka 814-0180, Japan
Received: 1 February 2025
Accepted: 29 April 2025
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.
© 2025 The author(s)
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