Projective-dual synchronization in delay dynamical systems with time-varying coupling delay |
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Authors: | Ghosh Dibakar |
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Institution: | (1) Centre for Nonlinear Dynamics, Bharathidasan University, Palkalaiperur Campus, Tiruchirapalli, 620 024, India;(2) Transdisciplinary Concepts and Methods, Potsdam Institute for Climate Impact Research, Telegrafenberg, 14412 Potsdam, Germany; |
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Abstract: | The existence of projective-dual-anticipating, projective-dual, and projective-dual-lag synchronization in a coupled time-delayed
systems with modulated delay time is investigated via nonlinear observer design approach. Transition from projective-dual-anticipating
to projective-dual synchronization and from projective-dual to projective-dual-lag synchronization as a function of variable
coupling delay τ
p
(t) is discussed. Using Krasovskii–Lyapunov stability theory, a general condition for projective-dual synchronization is derived.
Numerical simulations on the chaotic Ikeda and Mackey–Glass systems are given to demonstrate the effectiveness of the theoretical
results. |
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Keywords: | |
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