| 一类三维耦合混沌系统的动力学分析与数值模拟 |
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| 引用本文： | 王博,张晓丹. 一类三维耦合混沌系统的动力学分析与数值模拟[J]. 北京科技大学学报, 2007, 29(6): 636-640 |
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| 作者姓名： | 王博 张晓丹 |
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| 作者单位： | 北京科技大学应用科学学院,北京,100083 |
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| 摘 要： | 通过对一个三维不稳定线性系统添加非连续状态反馈控制项,即一个分段线性控制开关,从而构造出一种新的几何对象,实现了三线性系统耦合混沌控制. 对一类三维耦合混沌系统的动力学性质进行了理论分析,给出了与此类系统动力学性质相关的三个定理. 数值模拟及计算全部Lyapunov指数验证了该三维耦合系统确实存在混沌.
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| 关 键 词： | 线性微分系统 混沌反控制 耦合系统 数值模拟 Lyapunov指数 三维耦合系统 混沌系统 力学分析 数值模拟 chaotic system hybrid kind numerical simulation analysis 存在 验证 指数 Lyapunov 计算 定理 性质相关 系统动力学 理论 动力学性质 混沌控制 |
| 修稿时间： | 2006-03-202006-12-01 |
Dynamic analysis and numerical simulation of a kind of 3-dimensional hybrid chaotic system |
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| WANG Bo,ZHANG Xiaodan. Dynamic analysis and numerical simulation of a kind of 3-dimensional hybrid chaotic system[J]. Journal of University of Science and Technology Beijing, 2007, 29(6): 636-640 |
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| Authors: | WANG Bo ZHANG Xiaodan |
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| Affiliation: | Applied Science School, University of Science and Technology Beijing, Beijing 100083, China |
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| Abstract: | A kind of 3-dimensional three-linear hybrid chaotic system was achieved by adding feedback control item under discontinuous state, which is a switching type of piecewise-linear controller to a 3-dimensional unstable linear system. Systemic dynamic analysis was accomplished for a kind of three - linear hybrid chaotic system, and three theorems were given. Numeric simulation and calculating all Lyapunov exponents verify their chaos. |
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| Keywords: | linear differential system anti-control of chaos hybrid system numerical simulation lyapunov exponent |
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