On Chaotification of Discrete Hamilton Systems |
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Authors: | LI Guang-cheng XIE Jia-fang YUE Bao-zeng |
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Affiliation: | School of Science, Beijing Institute of Technology, Beijing 100081, China;School of Science, Beijing Institute of Technology, Beijing 100081, China;School of Science, Beijing Institute of Technology, Beijing 100081, China |
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Abstract: | The chaotification problem of discrete Hamilton systems in one dimensional space is investigated and corresponding chaotification theorem is established. Feedback control techniques is used to make arbitrary discrete Hamilton systems chaotic,or enhance its existing chaotic behaviors. By designing a universal controller and combining anti-integrable limit it is proved that chaos of the controlled systems is in the sense of Devaney. In particular,the systems corresponding to the original systems and designed controllers are only required to satisfy some mild assumptions. Moreover,the range of the coefficient of the controller is given. |
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Keywords: | discrete Hamilton systems chaotification anti-integrable limit |
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