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Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (10): 1299-1308 .doi: https://doi.org/10.1007/s10483-008-1005-y

• Articles • 上一篇    下一篇

N个异结构混沌系统的环链耦合同步

刘艳;吕翎   

  1. 辽宁师范大学物理与电子技术学院，大连 116029
  • 收稿日期:2007-12-29 修回日期:2008-08-26 出版日期:2008-10-01 发布日期:2008-10-01
  • 通讯作者: 吕翎

Synchronization of N different coupled chaotic systems with ring and chain connections

LIU Yan; Lü Ling   

  1. College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, P. R. China
  • Received:2007-12-29 Revised:2008-08-26 Online:2008-10-01 Published:2008-10-01
  • Contact: Lü Ling

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摘要： 提出了一种通过环链耦合实现N个异结构混沌系统同步的方法。以New系统、Chen系统、Lü系统、Lorenz系统和Rössler系统作为典型的例子，验证了这种同步控制方法的有效性。利用Lyapunov稳定性定理，构造控制器的具体形式，并确定了耦合系数的取值范围。仿真模拟结果表明，在控制器的作用下，选择适当的耦合系数值，可以同时使N个异结构混沌系统达到完全同步。

关键词: 混沌同步, Lyapunov稳定性定理, 异结构系统, 耦合系数, 环链耦合

Abstract: Synchronization of N different coupled chaotic systems with ring and chain connections is investigated. The New system, the Chen system, the Lü system, the Lorenz system, and the Rössler system are used as examples in verifying effectiveness of the method. Based on the Lyapunov stability theory, the form of the controller is designed and the area of the coupling coefficients is determined. Simulations indicate that global synchronization of the N different chaotic systems can be realized by choosing appropriate coupling coefficients by using the controller.

Key words: different chaotic systems, chaos synchronization, Lyapunov stability theory, coupling with ring and chain connection, coupling coefficient

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