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Lag synchronization of hyperchaotic complex nonlinear systems via passive control. (English) Zbl 1269.93042

Summary: In this paper we study and investigate the Lag synchronization (LS) of hyperchaotic complex nonlinear systems by using passive control theory. LS of these hyperchaotic complex systems via passive control has not received enough attentions, as far as we know, in the literature. Based on the property of the passive system the passive controller is stated to achieve LS of two identical hyperchaotic complex Lorenz systems. These complex systems appear in many important fields of physics and engineering. The analytical results of the controllers, which have been calculated by using our scheme, are tested numerically and good agreement is obtained.

MSC:

93C10 Nonlinear systems in control theory
34H10 Chaos control for problems involving ordinary differential equations
34D06 Synchronization of solutions to ordinary differential equations
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