| Linearly Coupled Synchronization of the New Chaotic Systems |
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| 引用本文： | LU Jun-an ZHOU Jin LI Yi-tian. Linearly Coupled Synchronization of the New Chaotic Systems[J]. 武汉大学学报:自然科学英文版, 2005, 10(6): 993-996. DOI: 10.1007/BF02832454 |
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| 作者姓名： | LU Jun-an ZHOU Jin LI Yi-tian |
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| 作者单位： | [1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China [2]School of Water Resources and Hydropower, Wuhan University, Wuhan 430072, Hubei, China |
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| 基金项目： | Supported by the National Key Basic Research and Development 973 Program of China （2003CB415200） and State Key Laboratory of Water Resources and Hydropower Engineering Science （2004C011） |
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| 摘 要： | 0IntroductionCahdaeoss[ 1h]a.sI bne e1n9 6i3nt ,en Lsiovreelnyz sftouudniedd t ihne t fhires tla scta ntohnrieceal d eact--tractor[2 ,3].In 1999 , Chen,et alfound another si milar buttopologically not equivalent chaotic attractor[4 ,5]. In 2002 ,Lu,et alfound a chaotic system[6],bearing the name of theLu system.In the second year , Chen and Lu introduced thenotion of generalized Lorenz canonical form(GLCF) , whichcontains the Lorenz system(τ∈(0,∞))and Chen system(τ∈(-1,0))as two ext…
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| 关 键 词： | 线性同步性 无序系统 混沌理论 Lyapunov方程 数字模拟 |
| 文章编号： | 1007-1202（2005）06-0993-04 |
| 收稿时间： | 2004-12-12 |
Linearly coupled synchronization of the new chaotic systems |
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| Lu Jun-an,Zhou Jin,Li Yi-tian. Linearly coupled synchronization of the new chaotic systems[J]. Wuhan University Journal of Natural Sciences, 2005, 10(6): 993-996. DOI: 10.1007/BF02832454 |
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| Authors: | Lu Jun-an Zhou Jin Li Yi-tian |
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| Affiliation: | (1) School of Mathematics and Statistics, Wuhan University, 430072 Wuhan, Hubei, China;(2) School of Water Resources and Hydropower, Wuhan University, 430072 Wuhan, Hubei, China |
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| Abstract: | This paper investigates synchronization within the new systems, which we denote as Liu system in this paper. New stability criteria for synchronization of linearly coupled Liu systems are attained using the Lyapunov method. Some sufficient conditions for synchronization are concluded through rigorous mathematical theory, which can be further applied to more chaotic systems. Moreover, numerical simulations are given to show the effectiveness of our synchronization criterions. |
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| Keywords: | linearly synchronization coupled synchronization chaotic system Lyapunov method |
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