| 一个具有四翼的混沌吸引子的混沌系统的分析与同步控制 |
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| 引用本文： | 安新磊,俞建宁,林明泽,孙军芳.一个具有四翼的混沌吸引子的混沌系统的分析与同步控制[J].温州大学学报(自然科学版),2010,31(1):18-25. |
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| 作者姓名： | 安新磊 俞建宁 林明泽 孙军芳 |
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| 作者单位： | 1. 兰州交通大学数理与软件工程学院,甘肃兰州,730070
2. 西宁供电公司,青海西宁,810003 |
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| 基金项目： | 甘肃省自然科学基金，兰州交通大学大学生科研基金 |
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| 摘 要： | 在提出一个具有四翼混沌吸引子和每个方程含有一个三次非线性交叉乘积项的新复杂四维连续自治系统基础上，依据Lyapunov稳定性定理，采用非线性反馈控制，通过构造合适的响应系统，实现了新系统的错位同步控制．数值仿真结果表明，该非线性反馈控制器所要求的控制律简单易于实现，且收敛速度快．
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| 关 键 词： | 四翼吸引子 四维混沌系统 错位同步 Lyapunov指数谱 |
Analysis and Synchronic Control of Chaotic System with Four-winged Chaotic Attractor |
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| AN Xinlei,YU Jianning,LIN Mingze,SUN Junfang.Analysis and Synchronic Control of Chaotic System with Four-winged Chaotic Attractor[J].Journal of Wenzhou University Natural Science,2010,31(1):18-25. |
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| Authors: | AN Xinlei YU Jianning LIN Mingze SUN Junfang |
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| Institution: | AN Xinlei1,YU Jianning1,LIN Mingze1,SUN Junfang2 (1. School of Mathematics,Physics , Software Engineering,Lanzhou Jiaotong University,Lanzhou,China 730070,2. Xining Power Supply Company,Xining,China 810003) |
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| Abstract: | A new model of complex four-dimensional continuous autonomous chaotic system, which is characterized by a four-winged chaotic attractor and a cubic cross-product term contained in each equation, was set. Based on Lyapunov stabilization theorem and nonlinear feedback control, mismatch synchronization control could be achieved in this chaotic system by establishing suitable response system. The results of numerical simulation showed that the control law required by this nonlinear feedback controller could be ... |
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| Keywords: | Four-winged Chaotic Attractor Four-dimensional Chaotic System Mismatch Synchronization Lyapunov Exponential Spectrum |
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