Complete synchronization in coupled limit-cycle systemsWei Zou1, 2 and Meng Zhan1
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
received 15 August 2007; accepted in final form 2 November 2007; published January 2008
published online 27 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.
05.45.-a - Nonlinear dynamics and chaos.
05.45.Xt - Synchronization; coupled oscillators.
© EPLA 2008