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

Abstract

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.

14 Pages and 12 Figures

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• Approximating the mapping between systems exhibiting generalized synchronization

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