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Using white noise to enhance synchronization of coupled chaotic systems
1Research Center and Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University), Shanghai 200433, People's Republic of China. wlin@fudan.edu.cn
Abstract:
In the paper, complete synchronization of two chaotic oscillators via unidirectional coupling determined by white noise distribution is investigated. It is analytically proved that chaos synchronization could be achieved with probability one merely via white-noise-based coupling. The established theoretical result supports the observation of an interesting phenomenon that a certain kind of white noise could enhance chaos synchronization between two chaotic oscillators. Furthermore, numerical examples are provided to illustrate some possible applications of the theoretical result.
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