N个异结构混沌系统的环链耦合同步  

Synchronization of N Different Coupled Chaotic Systems With Ring and Chain Connections

作　　者：刘艳[1] 吕翎[1] 

机构地区：[1]辽宁师范大学物理与电子技术学院,辽宁大连116029

出　　处：《应用数学和力学》2008年第10期1181-1190,共10页Applied Mathematics and Mechanics

基　　金：辽宁省自然科学基金资助项目(20052151);辽宁省教育厅创新团队计划资助项目

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、L系统、Lorenz系统和Rssler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Liapunov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.The synchronization of N different coupled chaotic systems with ring and chain connections is investigated. The New system, the Chert system, the Lü system, the Lorenz system and the Roessler system were taken as examples to verify the effectiveness of the method. Based on Liapunov stability theory, the form of controller was designed and the area of coupling coefficients were determined. Artificial simulations indicate that the global synchronization of the N different chaotic systems can be realized by choosing appropriate coupling coefficients under the function of controller.

关 键 词：混沌同步 Liapunov稳定性定理 环链耦合 异结构系统 耦合系数 

分 类 号：O415.5[理学—理论物理]