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中国物理学会期刊

一种新型混沌系统的分析及电路实现

CSTR: 32037.14.aps.59.131

Study on a new chaotic system with analysis and circuit experiment

CSTR: 32037.14.aps.59.131
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  • 研究了新混沌动力系统的基本动力学行为,确定了新混沌系统的对称性、平衡点稳定性等相关问题.重点分析了系统参数对整个混沌系统的影响,给出了混沌系统关于随系统参数变化的Lyapunov指数谱、分岔图等.据此得出在系统参数的某一区间的新混沌系统状态.最后根据新混沌系统的数学模型设计具体的实际的电子电路,给出各种参数值的电路实验相图.

     

    In this paper,we study a new chaotic system which is totally different from the Lorenz chaotic system,Chen chaotic system and Liu chaotic system. Firstly,the basic dynamical behaviors of new chaotic system are studied. The influence of system parameter on the chaotic system is discussed through Lyapunov exponent spectrum and bifurcation diagram. The results between simulation and experiment are in good agreement,thereby proving the veracity of analysis.

     

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