| 一个统一混沌系统及其研究 |
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| 引用本文： | 吕金虎,陈关荣,张锁春.一个统一混沌系统及其研究[J].中国科学院研究生院学报,2003,20(1):123-129. |
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| 作者姓名： | 吕金虎 陈关荣 张锁春 |
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| 作者单位： | 1. 中国科学院数学与系统科学研究院,北京,100080
2. 香港城市大学电子工程系,香港 |
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| 摘 要： | 发现了一个新的混沌系统,它是介于著名的Lorenz系统和Chen系统之间的临界系统。同时,提出了一个单参数的统一混沌系统———Lorenz系统族,它包含Lorenz系统和Chen系统作为参数区间的两个极端系统,临界系统作为一个过渡系统。基于线性耦合多振子互同步问题的研究,提出了研究这一类问题的新方法———模式分解法,并首次从理论上给出了上述 3个典型系统混沌同步的几个严格的充分条件。还提出了一类新的简单的切换分段线性反控制器,它能够使一个简单的线性系统在三维空间中同时产生n个,或一个具有多吸引域融合的复杂混沌吸引子
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| 关 键 词： | Lorenz系统 Chen系统 临界系统 统一混沌系统 混沌控制与同步 |
A Unified Chaotic System and Its Research |
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| L Jin Hu,CHEN Guan Rong,ZHANG Suo Chun.A Unified Chaotic System and Its Research[J].Journal of the Graduate School of the Chinese Academy of Sciences,2003,20(1):123-129. |
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| Authors: | L Jin Hu CHEN Guan Rong ZHANG Suo Chun |
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| Institution: | L Jin Hu 1 CHEN Guan Rong 2 ZHANG Suo Chun 1 |
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| Abstract: | Produces a new chaotic system, which is a critical system betweem the Lorenz andChen systems. At the same time, we introduce a unified chaotic system with single parameter,called Lorenz system families, which contains the Lorenz and the Chen systems as two dualsystems at the two extremes of its parameter spectrum, and acritical system as a transitionsystem. Based on the study of the chaos synchronization between linearly coupled multi-sys-tems, presents a new method mode decomposition for analyzing the stability of synchroni-zation solution, some sufficient conditions for synchronization are gained from rigorouslymathematical analysis for the first time. Finally, Introduces several new chaos generators,switching piecewise-linear controllers, which can create simultaneously n, or one with multi-ple merged basins of attraction chaotic attractors from a 3-D linear system within a wide rangeof parameter values. |
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| Keywords: | Lorenz system Chen system critical system unified chaotic system chaos control and synchronization |
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