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中国物理学会期刊

Liu混沌系统的混沌分析及电路实验的研究

CSTR: 32037.14.aps.55.5061

Studies on Liu chaotic system and its experimental confirmation

CSTR: 32037.14.aps.55.5061
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  • 研究了一种新型混沌系统——Liu混沌系统的基本动力学行为以及电路实现的问题,给出了相图、庞卡莱映射、功率谱以及李雅普诺夫指数,基于李雅普诺夫指数谱和分叉图分析了系统参数对Liu混沌系统的影响.最后设计硬件电路证实了Liu混沌系统以及Liu混沌系统随系统参数变化时的各种状态的存在.给出数值仿真和电路实验的结果.

     

    In this paper, the Liu chaotic system is discussed. Its basic dynamical behaviors, such as the phase portrait, Lyapunov exponents, Poincaré mapping, power spectrum are studied. The influence of system parameter on the chaotic system is discussed through Lyapunov exponents spectrum and bifurcation diagram. Various attractors are demonstrated not only by computer simulation but also by the realization of an electronic circuit.

     

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