Hölder continuity of three types of generalized synchronization manifolds of non-autonomous systems |
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Authors: | Ai-Hua Hu Zhen-Yuan Xu |
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Institution: | a School of Science, Jiangnan University, Wuxi 214122, China b School of Information Technology, Jiangnan University, Wuxi 214122, China |
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Abstract: | This paper studies the existence of Hölder continuity of the generalized synchronization (GS) manifold. When the modified response system has an asymptotically stable equilibrium, periodic or quasi-periodic orbit, and chaotic attractor, GS is classified into four types accordingly. The first three types of GS are considered, and based on the Schauder fixed point theorem, sufficient conditions for Hölder continuous GS in the coupled non-autonomous systems are derived and theoretically proved. |
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Keywords: | 0545 |
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