| Issue |
EPL
Volume 81, Number 1, January 2008
|
|
|---|---|---|
| Article Number | 10006 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/81/10006 | |
| Published online | 27 November 2007 | |
Complete synchronization in coupled limit-cycle systems
1
Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences - Wuhan 430071, China
2
Graduate School of the Chinese Academy of Sciences - Beijing 100049, China
Corresponding author: zhanmeng@wipm.ac.cn
Received:
15
August
2007
Accepted:
2
November
2007
Most of the previous studies on the synchronization of coupled limit-cycle systems focused on synchronization in the context of phase or frequency locking. In this letter, we study complete synchronization in coupled limit-cycle systems in terms of complete trajectory locking, by generalizing the master stability function method, which is originally developed in the study of synchronization in coupled chaotic systems. Four typical types of transverse Lyapunov exponent of standard mode, which lead to different synchronization-desynchronization patterns, are classified. In many respects, the behaviors in such coupled systems are distinct from those in coupled chaotic systems, such as the size effect and the desynchronous behavior.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 05.45.Xt – Synchronization; coupled oscillators
© EPLA, 2008
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