| 一个三阶自治混沌电路的分析 |
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| 引用本文： | 谢金玲.一个三阶自治混沌电路的分析[J].齐齐哈尔大学学报(自然科学版),2007,23(5):28-30. |
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| 作者姓名： | 谢金玲 |
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| 作者单位： | 兰州交通大学机电工程学院,甘肃,兰州,730070 |
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| 摘 要： | 对一个三阶自治电路进行了研究，建立了数学模型，并根据模型对其进行了仿真研究，分析形成混沌的过程。用分岔控制方法实现了混沌的控制，对受控系统做出了控制参数的系统分岔图，由分岔图可以得到控制到np的周期轨道的取值范围，在这些范围内适当选择数值，将电路系统控制到1p，2p等周期轨道，并且只需将系统的单个状态变量反馈到系统的一个子系统就可以达到控制的目标，在电路中比较容易实现。
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| 关 键 词： | 混沌 分岔 相图 李雅谱诺夫指数 混沌控制 |
| 文章编号： | 1007-984X（2007）05-0028-03 |
| 修稿时间： | 2007-04-03 |
Analysis of a three-order autonomous chaotic circuit |
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| XIE Jin-ling.Analysis of a three-order autonomous chaotic circuit[J].Journal of Qiqihar University(Natural Science Edition),2007,23(5):28-30. |
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| Authors: | XIE Jin-ling |
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| Institution: | School of Mechatronical Engineering, Lanzhou Jiaotong University ,Lanzhou 730070, China |
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| Abstract: | A third-autonomous chaotic circuit is studied in this paper. The mathematic model is built, the chaos motion of the circuit is studied, and the chaotic motion of circuit is controlled with a method as controlling of bifurcation. The bifurcation diagram is plotted for the controlled system with parameter. The range of parameter to stabilize a certain nP periodic orbit in circuit can be obtained through the bifurcation diagram. The periodic orbit such as 1p, 2p can be stabilized with parameter.. In addition, only by inputting single state variables of the system to one of subsystem, we can successfully control the chaotic motion of the circuit. It is easy to realize in circuit. |
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| Keywords: | chaos bifurcation phase diagram Lyapunov exponent chaos controlling |
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