Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2005-10-13
Journal of Physics:Conference Series 23 (2005) 300-308
Nonlinear Sciences
Chaotic Dynamics
5 Figures 9 pages
Scientific paper
10.1088/1742-6596/23/1/031
Existence of different kinds of synchronizations, namely anticipatory, complete and lag type synchronizations (both exact and approximate), are shown to be possible in time-delay coupled piecewise linear systems. We deduce stability condition for synchronization of such unidirectionally coupled systems following Krasovskii-Lyapunov theory. Transition from anticipatory to lag synchronization via complete synchronization as a function of coupling delay is discussed. The existence of exact synchronization is preceded by a region of approximate synchronization from desynchronized state as a function of a system parameter, whose value determines the stability condition for synchronization. The results are corroborated by the nature of similarity functions. A new type of oscillating synchronization that oscillates between anticipatory, complete and lag synchronization, is identified as a consequence of delay time modulation with suitable stability condition.
Lakshmanan Meenakshi
Senthilkumar D. V.
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