Identical Synchronization in Networks of Coupled Nonlinear Circuits and Systems

Synchronization is a ubiquitous phenomenon and is crusical in many coupled physical systems. We present a theory of identical synchronization in networks of coupled nonlinear dynamical systems. We first consider the case of two copuled systems, and domonstrate chaotic communication systems as an applicaiton. Next the general case of a network of coupled systems is considered. We show how the coupling topology can influence the ability of the network to synchronize. In particular, we study algebraic quantities related to the graph in order to characterize this relationship. Furthermore, we show that random coupling facilitates synchronization, whereas local coupling does not.

By: Chai Wah Wu

Published in: RC23848 in 2006


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