Design of coupling for synchronization in time-delayed systems
نویسندگان
چکیده
منابع مشابه
Synchronization of time-delayed systems.
In this paper we study synchronization in linearly coupled time-delayed systems. We first consider coupled nonidentical Ikeda systems with a square wave coupling rate. Using the theory of the time-delayed equation, we derive less restrictive synchronization conditions than those resulting from the Krasovskii-Lyapunov theory [Yang Kuang, (Academic Press, New York, 1993)]. Then we consider a wide...
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Synchronization of delayed coupled and stochastically perturbed systems with delayed nonlinear feedback is studied, using as an example circular chains of three and four delayed coupled Ikeda oscillators. It is proved that in the case of multiplicative noise the exact synchronization in the mean occurs for sufficiently large coupling, and an analytic estimate of the sufficient coupling is given...
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Synchronization in a bidirectionally coupled system with a finite time-delay in coupling is studied using Josephson junction as a model system. Using the LyapunovKrasovskii method a sufficient condition for the stability of synchronization is obtained and it is found to be independent of the time-delay. The sum of the Lyapunov exponents transverse to the synchronization manifold is evaluated. N...
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We demonstrate that nonidentical systems, in particular, nonlinear oscillators with different time scales, can be synchronized if a mutual coupling via time-delayed control signals is implemented. Each oscillator settles on an unstable state, say a fixed point or an unstable periodic orbit, with a coupling force which vanishes in the long time limit. We present the underlying theoretical consid...
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This paper is concerned with the problem of synchronization for complex dynamic networks with state and coupling time-delays. Therefore, larger class and more complicated complex dynamic networks can be considered for the synchronization problem. Based on the Lyapunov-Krasovskii functional, a delay-independent criterion is obtained and formulated in the form of linear matrix inequalities (LMIs)...
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ژورنال
عنوان ژورنال: Chaos: An Interdisciplinary Journal of Nonlinear Science
سال: 2012
ISSN: 1054-1500,1089-7682
DOI: 10.1063/1.4731797