Generalized synchronization of two bidirectionally coupled discrete dynamical systems |
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| Authors: | Zhiling Yuan Zhenyuan XuLiuxiao Guo |
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| Institution: | School of Science, Jiangnan University, Wuxi, Jiangsu 214122, China |
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| Abstract: | Based on the modified system approach the generalized synchronization (GS) in two bidirectionally coupled discrete dynamical systems is classified into several types, and under some conditions, the existence, Lipschitz smoothness and Hölder continuity of two kinds of GS therein are derived and theoretically proved. In addition, numerical simulations validate the present theory. |
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| Keywords: | Generalized synchronization manifold Discrete dynamical system Lipschitz smoothness Hö lder continuity |
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