Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system |
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| Authors: | Zuohuan Zheng |
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| Institution: | a Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China
b Department of Electronic Engineering, City University of Hong Kong, China |
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| Abstract: | In this paper, the existence of heteroclinic orbits of Shil'nikov type in a three-dimensional quadratic autonomous system is proved. Four heteroclinic orbits and four critical points together constitute two cycles simultaneously. The dynamical behaviors of the system are also studied. |
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| Keywords: | Heteroclinic orbit Invariant set Behavior of trajectory Shil'nikov map |
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