| 类Henon系统的混沌及其混沌控制 |
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| 引用本文： | 高智中,章毛连.类Henon系统的混沌及其混沌控制[J].北京联合大学学报(自然科学版),2010,24(4):83-85. |
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| 作者姓名： | 高智中 章毛连 |
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| 作者单位： | 安徽科技学院理学院,安徽凤阳,233100;安徽科技学院理学院,安徽凤阳,233100;中国科学院等离子体物理研究所,合肥,230031 |
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| 基金项目： | 安徽科技学院引进人才科研项目，中国科学院知识创新工程项目 |
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| 摘 要： | 用数值计算的方法研究了类Henon系统,利用系统的分岔图和Lyapunov指数图,说明了系统由周期运动到混沌运动的转迁过程,并画出了处于混沌状态时的相图,然后基于Lyapunov指数的混沌控制方法,将该混沌系统有效地控制到任意期望点上,数值仿真表明了该方法的有效性和可行性。
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| 关 键 词： | 分岔图 Lyapunov 指数图 相图 混沌 混沌控制 |
Chaos motions and Chaos Control of Henon-like System |
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| GAO Zhi-zhong,ZHANG Mao-lian.Chaos motions and Chaos Control of Henon-like System[J].Journal of Beijing Union University,2010,24(4):83-85. |
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| Authors: | GAO Zhi-zhong ZHANG Mao-lian |
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| Institution: | GAO Zhi-zhong1 ZHANG Mao-lian1,2(1.College of Science,Anhui Science and Technology University,Fengyang Anhui 233100,China,2.Institute of Plasm a Physics,Chinese Academy of Sciences,Hefei 230031,China) |
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| Abstract: | Chaos motions and its control of Henon-like system are studied by numerical calculation in the paper.The bifurcation diagram and Lyapunov exponent of the system are presented to analyze the transition from periodic motion to chaotic motion.Chaotic phase diagram is given.Then chaos of the Henon-like system is effectively controlled to freewill expectation point by the method based on Lyapunov exponent.Numical simulations show the effectiveness and applicability of the method. |
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| Keywords: | bifurcation diagram Lyapunov exponents diagram phase diagram chaos chaos control |
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