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Chaos in three-dimensional hybrid systems and design of chaos generators |
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| Authors: | Songmei Huan Qingdu Li Xiao-Song Yang |
| Affiliation: | 1. Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China 2. Center for Nonlinear Science, Institute for Nonlinear Systems, Chongqing University of Posts and Telecomm, Chongqing, 400065, P.R. China 3. Department of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074, China |
| Abstract: | The existence of horseshoes is proved in a class of 3-dim piecewise linear systems, in which a homoclinic orbit connecting the origin to itself is explicitly given. Based on these results, a mathematically rigorous methodology for design of chaos generators is proposed. Implementation of such chaos generators by circuit is easy and the chaotic attractor is robust under small perturbations. |
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