分数阶Rucklidge混沌系统的同步研究  

SYNCHRONIZATION OF CHAOTIC FRACTIONAL-ORDER RUCKLIDGE SYSTEMS

作　　者：陈保颖[1,2] 张家军[2] 苑占江[2] 

机构地区：[1]广东工业大学应用数学学院,广州510006 [2]中山大学数学与计算科学学院,广州510275

出　　处：《动力学与控制学报》2010年第3期234-238,共5页Journal of Dynamics and Control

基　　金：广东工业大学校青年基金(072041)~~

摘　　要：主要讨论了分数阶混沌系统的同步问题.采用线性以及自适应控制两种不同的方案实现了分数阶Rucklidge系统的混沌同步.这两种方案均具有结构简单、易于实现的特点.而且,基于分数阶微分方程稳定性理论,可以保证同步是全局渐近稳定的.最后,数值结果证明了两种方案的可行性.The synchronization problem of fractional-order chaotic systems was studied. Three different kinds of schemes based on nonlinear feedback control, linear feedback control and adaptive control were proposed to synchronize chaotic fractional-order Rucklidge systems. Moreover, the globally asymptotic stability for such synchronization was derived by utilizing the stability theory of the fractional-order differential equations. Finally, Numerical simulations were presented to verify the effectiveness of such schemes.

关 键 词：混沌同步 分数阶混沌系统 线性反馈 自适应控制 

分 类 号：O415.5[理学—理论物理]