Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
978130 | Physica A: Statistical Mechanics and its Applications | 2007 | 11 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Xiwei Liu, Tianping Chen,