Hyperchaos,chaos, and horseshoe in a 4D nonlinear system with an infinite number of equilibrium points |
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| Authors: | Ping Zhou Fangyan Yang |
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| Affiliation: | 1. Center of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China
2. Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China
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| Abstract: | Based on three-dimensional (3D) Lü chaotic system, we introduce a four-dimensional (4D) nonlinear system with infinitely many equilibrium points. The Lyapunov-exponent spectrum is obtained for the 4D chaotic system. A hyperchaotic attractor and a chaotic attractor are emerged in this 4D nonlinear system. Furthermore, to verify the existence of hyperchaos, the chaotic dynamics of this 4D nonlinear system is also studied by means of topological horseshoe theory and numerical computation. |
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