| 一维线性波动方程边界反馈的时空混沌反控制 |
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| 引用本文： | 刘国刚,赵怡.一维线性波动方程边界反馈的时空混沌反控制[J].华南理工大学学报(自然科学版),2005,33(7):96-100. |
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| 作者姓名： | 刘国刚 赵怡 |
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| 作者单位： | 中山大学,数学与计算科学学院,广东,广州,510275;中山大学,数学与计算科学学院,广东,广州,510275 |
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| 基金项目： | 国家自然科学基金资助项目(10371136) |
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| 摘 要： | 考虑具有线性或非线性边界条件的一维线性波动方程，在边界上用一个正弦函数驱动作为控制器去控制一个原本不混沌的线性系统，使它混沌，并通过特征线法把控制系统的解解析地表示出来。运用全变差和符号动力系统的理论证明了系统是混沌的，并进行了数值模拟，结果表明所提出的控制方法是有效的。
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| 关 键 词： | 混沌控制 反馈反控制 波动方程 全变差 |
| 文章编号： | 1000-565X(2005)07-0096-05 |
Boundary Feedback Anti-Control of Spatiotemporal Chaos for 1 D Linear Wave Equation |
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| LIU Guo-gang,Zhao Yi.Boundary Feedback Anti-Control of Spatiotemporal Chaos for 1 D Linear Wave Equation[J].Journal of South China University of Technology(Natural Science Edition),2005,33(7):96-100. |
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| Authors: | LIU Guo-gang Zhao Yi |
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| Abstract: | In this paper, a 1D linear wave equation with linear or nonlinear boundary conditions is taken into account. A boundary feedback controller is designed with a sine function, and is then used to drive an originally non-chaotic linear system chaotic. Moreover, the solution of the controlled system is analytically expressed by the method of characteristic line. By the theory of total variation and symbol dynamic system, it is proved that the system is chaotic. Numerical simulations are finally carried out to verify the correctness of the proposed controlled method. |
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| Keywords: | chaos control feedback anti-control wave equation total variation |
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