| 三个耦合的非扩散Lorenz系统的全局混沌同步 |
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| 引用本文： | 宋娟,卢殿臣. 三个耦合的非扩散Lorenz系统的全局混沌同步[J]. 大学数学, 2007, 23(3): 54-58 |
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| 作者姓名： | 宋娟 卢殿臣 |
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| 作者单位： | 苏州科技学院,天平学院,基础部,苏州,215009;江苏大学,理学院,江苏,镇江,212013 |
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| 摘 要： | 以Lyapunov稳定性理论和矩阵论为基础,针对非扩散Lorenz系统,提出了一种三个耦合的恒等系统的全局混沌同步方案.该方案的关键是耦合参数的选取.通过选择适当的耦合参数,使得三个系统的状态变量达到同步,并利用Mathematic软件进行数值仿真.理论分析和仿真结果都表明了该方法的有效性.
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| 关 键 词： | 非扩散Lorenz系统 耦合 混沌同步 数值仿真 |
| 文章编号： | 1672-1454（2007）03-0054-05 |
| 修稿时间： | 2005-11-21 |
Global Chaos Synchronization of Three Coupled Diffusionless Lorenz Systems |
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| SONG Juan,LU Dian-chen. Global Chaos Synchronization of Three Coupled Diffusionless Lorenz Systems[J]. College Mathematics, 2007, 23(3): 54-58 |
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| Authors: | SONG Juan LU Dian-chen |
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| Affiliation: | 1. Tianping College, Suzhou University of Science and Technology, Suzhou 215009, China; 2. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China |
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| Abstract: | Considering the Diffusionless Lorenz system,a global chaos synchronization scheme of three coupled identical systems is proposed.The scheme is based on the Lyapunov stabilization theory and matrix measure.How to choose coupling parameter is the key point.By choosing proper coupling parameters,the states of all the three systems can be synchronized.And the Mathematical software is used to simulate.Both theoretical analysis and simulation result show the effectiveness of this method. |
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| Keywords: | Diffusionless Lorenz system coupled chaos synchronization numerical simulation |
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