Dynamics analysis and synchronization of a new chaotic attractor |
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Authors: | Kuibiao Deng Jing Li Simin Yu |
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Institution: | 1. Liuzhou Vocational Technological, College, Liuzhou 545006, China;2. Academy of Information Technology, Luoyang Normal University, Luoyang 471022, China;3. College of Automation, Guangdong University of Technology, Guangzhou 510006, China |
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Abstract: | In this paper, a new simple chaotic system is discussed. Basic dynamical properties of the new attractor are demonstrated in terms of phase portraits, equilibria and stability, Lyapunov exponents, a dissipative system, Poincaré mapping, bifurcation diagram, especially Hopf bifurcation. Next, based on well-known Lyapunov stability theorem, backstepping design is proposed for synchronization of the new chaotic system. At last, numerical studies are provided to illustrate the effectiveness of the presented scheme. |
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Keywords: | Control parameter New chaotic system Backstepping Synchronization |
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