| 一个新离散系统的混沌控制与反控制 |
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| 引用本文： | 彭战松,俞建宁,彭建奎,张建刚,张莉.一个新离散系统的混沌控制与反控制[J].天津师范大学学报(自然科学版),2008,28(4):54-56. |
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| 作者姓名： | 彭战松 俞建宁 彭建奎 张建刚 张莉 |
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| 作者单位： | 兰州交通大学数理与软件工程学院,兰州,730070 |
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| 基金项目： | 甘肃省自然科学基金
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| 摘 要： | 研究了一个含有理分式的离散系统的混沌运动，分析了系统参数对系统稳定性的影响．结果表明，系统在适定的参数下处于混沌状态或周期状态．采用压缩映射方法对系统混沌状态实施混沌控制，运用非线性反馈方法对系统周期状态实施反控制，并利用数值模拟验证了所给方法的有效性．
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| 关 键 词： | 混沌系统 小波函数 压缩映射 混沌反控制 Lyapunov指数谱 |
Chaos control and anti-control of a new discrete system |
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| PENG Zhansong,YU Jianning,PENG Jiankui,ZHANG Jiangang,Zhang Li.Chaos control and anti-control of a new discrete system[J].Journal of Tianjin Normal University(Natural Science Edition),2008,28(4):54-56. |
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| Authors: | PENG Zhansong YU Jianning PENG Jiankui ZHANG Jiangang Zhang Li |
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| Institution: | (College of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China) |
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| Abstract: | The chaotic motion of a new discrete system with rational fraction is studied, and the influence of system parameter on the stability of the system is analyzed. The system presents chaos or periodic state with differential parameter. The chaos state can be controlled by the method of contraction-mapping land the periodic state can be converted to chaos state using the method of nonlinear feedback. The numerical simulations show the effectiveness of the methods. |
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| Keywords: | chaotic system wavelet function contraction-mapping chaos anti-control Lyapunov exponents spectrum |
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