Further results on complete synchronization for noise-perturbed chaotic systems |
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Authors: | Jie Zhou |
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Institution: | a Research Center and Laboratory of Mathematics for Nonlinear Science, School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China b School of Mathematics, Shandong University, Jinan 250100, PR China |
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Abstract: | In this Letter, a class of general systems which covers several famous chaotic systems is studied in complete synchronization with noise perturbation. Special nonlinear coupling techniques as well as LaSalle-type invariance principle of stochastic differential equations are employed to deduce our sufficient conditions for complete synchronization without involving the boundedness of chaotic systems. Furthermore, the correlative numerical simulations are given to illustrate the effectiveness of our theoretic results. |
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Keywords: | Chaotic systems Complete synchronization Noise Nonlinear coupling techniques |
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