| 一个新的自治混沌系统及其电路实现 |
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| 引用本文： | 韩新风,高智中,章毛连.一个新的自治混沌系统及其电路实现[J].武汉大学学报(理学版),2011,57(3):196-200. |
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| 作者姓名： | 韩新风 高智中 章毛连 |
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| 作者单位： | 1. 安徽科技学院理学院,安徽凤阳,233100
2. 安徽科技学院理学院,安徽凤阳233100 中国科学院等离子体物理研究所,安徽合肥233031 |
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| 基金项目： | 中国科学院知识创新工程资助项目 |
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| 摘 要： | 在Lü系统的基础上提出了一个新的三维自治混沌系统,并对系统的基本动力学特性进行了深入的分析,利用数值分析软件MATLAB给出了系统的相轨迹图、分岔图、Lyapunov指数谱等.结果研究表明,系统具有丰富的非线性动力学行为.根据非线性电路的基本理论,把新的三维自治混沌系统的数学模型转化为电路方程,构造出符合新混沌系统的非线性电路.利用电路仿真软件Multisim对非线性电路进行了仿真实验,仿真结果证实了该非线性混沌系统电路在物理上的可实现性.
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| 关 键 词： | 非线性电路 新混沌系统 分岔 Lyapunov指数 电路仿真 |
A New Autonomous Chaotic System and Its Circuit Realization |
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| HAN Xinfeng,GAO Zhizhong,ZHANG Maolian.A New Autonomous Chaotic System and Its Circuit Realization[J].JOurnal of Wuhan University:Natural Science Edition,2011,57(3):196-200. |
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| Authors: | HAN Xinfeng GAO Zhizhong ZHANG Maolian |
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| Institution: | HAN Xinfeng1,GAO Zhizhong1,ZHANG Maolian1,2(1.College of Science,Anhui Science and Technology University,Fengyang 233100,Anhui,China,2.Institute of Plasma Physics,Chinese Academy of Science,Hefei 230031,China) |
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| Abstract: | Based on the Lü system,a new three-dimensional autonomous chaotic system is presented in the paper to extend research in the field of nonlinear circuits.The rich dynamics characteristics of the new system are analyzed by means of MATLAB software,such as phase diagram,bifurcation diagram and Lyapunov exponent spectrum,etc.The results of the analysis indeed show that the new chaotic system has rich nonlinear dynamic phenomena.The chaotic circuit is designed by converting mathematics model of the new chaotic system to its circuit equation based on the fundamental theory of nonlinear circuit.It is realized by the Multisim software,confirming that it can be achieved physically. |
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| Keywords: | nonlinear circuit new chaotic system bifurcation Lyapunov exponent circuit simulation |
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