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一种简单混沌系统的动力学分析及电路实现

更新时间:2020-07-08 07:58:57 大小:617K 上传用户:songhuahua查看TA发布的资源 标签:混沌系统动力学分析 下载积分:5分 评价赚积分 (如何评价?) 打赏 收藏 评论(0) 举报

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针对混沌系统的构建存在建模、电路实现难度大,且建模规律难以寻获等特点,提出一种仅含一个非线性项的三变量简单混沌系统,并对其动力学特征进行分析研究。给出系统的李雅普诺夫指数谱、李雅普诺夫指数和维数、单参数分岔图及时域波形图和吸引子相图,Poincaré映射图,并研究不同调控系数对系统的动力行为的影响;设计出该混沌系统的硬件实现电路,数值模拟与实验电路验证结果一致,证明了该系统是一种新混沌系统,表明该混沌系统动力学行为与调控系数有关。

For many difficulties existing in the realization of a chaotic system construction model and a circuit,and finding the modeling rules of a chaotic system,a novel three-variable simple chaotic system containing only one nonlinear variables is put forward,and the dynamical characteristics of the new system is studied. The Lyapunov spectrum,the Lyapunov index and spectra dimension,bifurcation diagrams,time domain waveform,and attractor phase diagram are obtained. The effects of the system dynamic behavior on different regulation coefficients are investigated. The realization hardware circuit of this chaotic system was designed. The numerical simulation results and circuit experiment results have a good agreement. And the chao...

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一种简单混沌系统的动力学分析及电路实现.pdf 617K

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