Exponential synchronization of nonlinear coupled dynamical networks with a delayed coupling

Xiwei Liu and Tianping Chen

Physica A: Statistical Mechanics and its Applications, 2007, vol. 381, issue C, 82-92

Abstract: In this paper, we discuss exponential synchronization of nonlinear coupled dynamical networks with a delayed coupling. Sufficient conditions for both delay-independent and delay-dependent global exponential synchronization are obtained based on Lyapunov functional method. It is shown that, for some coupled chaotic systems and nonlinear coupling functions, if the coupling delay is less than a positive threshold, then the coupled network will be synchronized. On the other hand, with the increase of coupling delay, the synchronizability of the coupled network will be restrained, even eventually de-synchronized. Finally, an example is provided to demonstrate the effectiveness of the proposed results.

Keywords: Dynamical networks; Synchronization; Delayed coupling; Nonlinear coupling (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:381:y:2007:i:c:p:82-92

DOI: 10.1016/j.physa.2007.03.026

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