Transition from anticipatory to lag synchronization via complete synchronization in time-delay systems

Details Transition from anticipatory to lag synchronization via complete synchronization in time-delay systems Transition from anticipatory to lag synchronization via complete synchronization in time-delay systems

2004-08-19

arxiv.org/abs/nlin/0408036v2

PhysRev E 71 016211 2005

Nonlinear Sciences

Chaotic Dynamics

14 Pages and 12 Figures

Scientific paper

10.1103/PhysRevE.71.016211

The existence of anticipatory, complete and lag synchronization in a single system having two different time-delays, that is feedback delay $\tau_1$ and coupling delay $\tau_2$, is identified. The transition from anticipatory to complete synchronization and from complete to lag synchronization as a function of coupling delay $\tau_2$ with suitable stability condition is discussed. The existence of anticipatory and lag synchronization is characterized both by the minimum of similarity function and the transition from on-off intermittency to periodic structure in laminar phase distribution.

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