Hopf Bifurcation in a New Four-Dimensional Hyperchaotic System |
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| Authors: | LI Xin YAN Zhen-Ya |
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| Institution: | 1.Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100190, China;2.School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, China |
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| Abstract: | In this paper, the Hopf bifurcation in a new hyperchaotic system is studied. Based on the first Lya-punov coefficient theory and symbolic computation, the conditions of supercritical and subcritical bifurcation in the new hyperchaotic system are obtained. Numerical simulations are used to illustrate some main results. |
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| Keywords: | hyperchaotic system Hopf bifurcation the first Lyapunov coefficient |
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