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一个切换混沌系统的设计及其电路仿真

更新时间：2020-10-26 16:27:48 大小：3M 上传用户：gsy幸运查看TA发布的资源 标签：切换混沌系统 下载积分：1分评价赚积分（如何评价?）打赏收藏评论(0) 举报

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在Lorenz混沌系统的基础之上,通过对系统方程的变形得到4个混沌子系统,进一步构造一个由4个混沌子系统组成的切换混沌系统。该系统通过开关选择器,能够在4个混沌系统之间自动切换。详细分析系统的平衡点及其稳定性、耗散性、最大Lyapunov指数以及混沌吸引子的相图等基本特性。与Lorenz混沌系统具有更大的最大Lyapunov指数,其混沌吸引子更加复杂。基于微控制器数字平台,设计实现该切换混沌系统的数字硬件电路,电路实验仿真结果与数值仿真结果基本一致,证实了该混沌系统的存在性和物理上的可实现性。

Four chaotic subsystems are obtained on the basis of the Lorenz chaotic system by means of the system equation deformation,so as to further construct a switchable chaotic system composed of the four chaotic subsystems. The system switches among four chaotic systems automatically via a switch selector. The equilibrium points,stability,dissipation,maximum Lyapunov exponent,phase diagrams of chaos attractors,and other basic features of the system are analyzed in detail. In comparison with the Lorenz chaotic system and the chaotic subsystems obtained by means of deformation,the switchable chaotic system has a larger maximum Lyapunov exponent and more complex chaotic attractors. The digital hardware circuit for implementing the switchable chaotic system is designed based on the digital platform of the microcontroller. The simulation results of the circuit experiment are basically consistent with the numerical simulation results,which proves the existence and physical realizability of the chaotic system.