Chaotification for a class of nonlinear systems |
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| Authors: | Liu Na and Guan Zhi-Hong |
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| Affiliation: | Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | More and more attention has been focused on effectively generating
chaos via simple physical devices. The problem of creating chaotic
attractors is considered for a class of nonlinear systems with
backlash function in this paper. By utilizing the Silnikov
heteroclinic and homoclinic theorems, some sufficient conditions are
established to guarantee that the nonlinear system has
horseshoe-type chaos. Examples and simulations are given to verify
the effectiveness of the theoretical results. |
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| Keywords: | chaos backlash function heteroclinic orbit chaos generation |
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