On the Existence of Independent Symbolic Dynamics for Weak Coupling of Chaotic Systems
نویسنده
چکیده
DYNAMICS FOR WEAK COUPLING OF CHAOTIC SYSTEMS Zbigniew Galias Department of Electrical Engineering, University of Mining and Metallurgy, Krak ow, Poland [email protected] Abstract| In this paper we study behavior of coupled continuous{time chaotic systems by means of independent symbolic dynamics. First we consider the perturbed chaotic system and estimate the maximum perturbation range for which the symbolic dynamics survives. If the coupling is small enough then the perturbation introduced by the coupling does not exceed the maximumrange and there exists independent symbolic dynamics for every coupled subsystem. As an example we consider coupled Chua circuits. We compute the value of the coupling strength for which the symbolic dynamics in every subsystem is not destroyed.
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