Complete synchronization of chaotic complex nonlinear systems with uncertain parameters

被引:0
作者
Gamal M. Mahmoud
Emad E. Mahmoud
机构
[1] Assiut University,Department of Mathematics, Faculty of Science
[2] Sohag University,Department of Mathematics, Faculty of Science
来源
Nonlinear Dynamics | 2010年 / 62卷
关键词
Chaotic system; Synchronization; Uncertain; Error function; Lyapunov function; Complex;
D O I
暂无
中图分类号
学科分类号
摘要
Our main objective in this work is to investigate complete synchronization (CS) of n-dimensional chaotic complex systems with uncertain parameters. An adaptive control scheme is designed to study the synchronization of chaotic attractors of these systems. We applied this scheme, as an example, to study complete synchronization of chaotic attractors of two identical complex Lorenz systems. The adaptive control functions and the parameters estimation laws are calculated analytically based on the complex Lyapunov function. We show that the error dynamical systems are globally stable. Numerical simulations are computed to check the analytical expressions of adaptive controllers.
引用
收藏
页码:875 / 882
页数:7
相关论文
共 74 条
[1]  
Pecora L.M.(1990)Synchronization in chaotic systems Phys. Rev. Lett. 64 821-824
[2]  
Carroll T.L.(1995)Dephasing and bursting in coupled neural oscillators Phys. Rev. Lett. 75 3190-3193
[3]  
Han S.K.(1999)Complex dynamics and phase synchronization in spatially extended ecological system Nature 399 354-359
[4]  
Kerrer C.(1996)Secure communication via chaotic parameter modulation IEEE Trans. Circuits Syst. I 43 817-819
[5]  
Kuramoto Y.(2002)The synchronization of chaotic systems Phys. Rep. 366 1-101
[6]  
Blasius B.(2009)A theory for synchronization of dynamical systems Commun. Nonlinear Sci. Numer. Simul. 14 1901-1951
[7]  
Huppert A.(1997)On the chaos synchronization phenomena Phys. Lett. A 262 50-60
[8]  
Stone L.(2009)Anti-synchronization of chaotic systems with uncertain parameters via adaptive control Phys. Lett. A 373 2852-2858
[9]  
Yang T.(2009)Synchronization of unified chaotic systems with uncertain parameters based on the CLF Nonlinear Anal. 10 715-722
[10]  
Chua L.O.(2002)Parameters identification and synchronization of chaotic systems based upon adaptive control Phys. Lett. A 299 353-358