A simple method to simultaneously achieve synchronization and anti-synchronization in chaotic systems  

作　　者：李瑞红 陈为胜 李爽 

机构地区：[1]Department of Applied Mathematics,Xidian University [2]School of Statistics,Xi'an University of Finance and Economics

出　　处：《Chinese Physics B》2010年第1期172-178,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 60804021)

摘　　要：In this paper, a novel adaptive control approach is presented to simultaneously achieve synchronization and antisynchronization in partially linear chaotic systems. Through appropriately separating state vectors of such systems, synchronization and anti-synchronization could be simultaneously realized in different subspaces, which may be strictly proven theoretically. Simulation results for a Lorenz chaotic system and a new hyper-chaotic system are provided to illustrate the effectiveness of the proposed method. Finally, a new secure communication scheme based on such a synchronization phenomenon of the hyper-chaotic system is demonstrated. Numerical results show success in transmitting a periodic signal with high security.In this paper, a novel adaptive control approach is presented to simultaneously achieve synchronization and antisynchronization in partially linear chaotic systems. Through appropriately separating state vectors of such systems, synchronization and anti-synchronization could be simultaneously realized in different subspaces, which may be strictly proven theoretically. Simulation results for a Lorenz chaotic system and a new hyper-chaotic system are provided to illustrate the effectiveness of the proposed method. Finally, a new secure communication scheme based on such a synchronization phenomenon of the hyper-chaotic system is demonstrated. Numerical results show success in transmitting a periodic signal with high security.

关 键 词：synchronization and anti-synchronization adaptive control secure communication 

分 类 号：O415.5[理学—理论物理] TP273.2[理学—物理]