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Linearly coupled synchronization of the unified chaotic systems and the Lorenz systems. (English) Zbl 1063.37030

Summary: This paper investigates the synchronization of two linearly coupled unified chaotic systems and two linearly coupled Lorenz systems. Some sufficient conditions for synchronization are obtained. Compared with the results in [J.Lü, T. Zhou and S. Zhang, Chaos Solitons Fractals 14, 529–541 (2002; Zbl 1067.37043)], the sufficient conditions for the synchronization of two linearly coupled Lorenz systems are simpler and less conservative. Numerical simulations are provided for illustration and verification.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34C28 Complex behavior and chaotic systems of ordinary differential equations

Citations:

Zbl 1067.37043
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References:

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