一类具有外界干扰的不同阶数混沌系统的同步  

Synchronization of Chaotic System with Different Orders and External Disturbances

作　　者：李阔 王贺元[1] 王全宇 LI Kuo;WANG He-yuan;WANG Quan-yu(College of Science,Liaoning University of Technology,Jinzhou 121001,China)

机构地区：[1]辽宁工业大学理学院,辽宁锦州121001

出　　处：《辽宁工业大学学报（自然科学版）》2018年第4期220-223,共4页Journal of Liaoning University of Technology(Natural Science Edition)

基　　金：国家自然科学基金项目(11572146;11526105)

摘　　要：利用扩阶的方法研究了一类具有不确定参数和外部干扰的不同阶数的混沌系统的同步问题。基于主动控制方法和Lyapunov稳定性定理设计了跟踪控制器实现了不同阶混沌系统的混沌同步。将该方法应用到统一超混沌系统和Couette-Taylor三模系统中,数值仿真验证了该方法的有效性。In this paper, the problem of synchronization for a class of chaotic systems with uncertain parameters and external disturbances is studied by using the method of order expansion. Based on the active control method and the Lyapunov stability theorem, a controller is designed to realize the synchronization of chaotic systems with different orders. The method has been applied to solve the synchronization problem of unified hyperchaotic system and Couette-Taylor three-mode system. Numerical simulations show the effectiveness of the method.

关 键 词：扩阶 不同阶 不确定混沌系统 同步 

分 类 号：O193[理学—数学]