Synchronization of Chaotic Systems in Unidirectional Ring Networks with Delay

Toshiki Oguchi

In this paper, we consider the synchronization problem in unidirectional ring networks of
chaotic systems with time-delay coupling.
Firstly, we introduce the notion of strict semi-dissipativity and show by using the small-gain theorem that the trajectories of coupled systems satisfying the strict semi-dissipativity are bounded.
Then we derive a sufficient condition for synchronization of the systems coupled in a unidirectional way by using a stability criterion for delay systems.

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