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n维自治混沌系统的(反)同步研究
引用本文:江浩,祝泽华,郭丽峰,褚衍东. n维自治混沌系统的(反)同步研究[J]. 贵州师范大学学报(自然科学版), 2008, 26(3)
作者姓名:江浩  祝泽华  郭丽峰  褚衍东
作者单位:兰州交通大学,数理与软件工程学院,甘肃,兰州,730070;江苏盐城技师学院,数控技术系,江苏,盐城,224002
摘    要:研究了n维自治混沌系统的同步和反同步问题。基于李亚普诺夫稳定性理论,设计了一种能实现其同步和反同步的响应系统,并从理论上证明了误差系统是全局渐近稳定的。以Rossler系统为例进行M atlab数值仿真试验,数值仿真结果也表明所设计的响应系统能有效地实现混沌系统的同步和反同步控制。

关 键 词:n维混沌自治系统  混沌同步  反同步  响应系统  数值仿真

Study on synchronization and anti-synchronization in n-dimensional autonomous chaotic system
JIANG Hao,ZHU Ze-hua,GUO Li-feng,CHU Yan-dong. Study on synchronization and anti-synchronization in n-dimensional autonomous chaotic system[J]. Journal of Guizhou Normal University(Natural Sciences), 2008, 26(3)
Authors:JIANG Hao  ZHU Ze-hua  GUO Li-feng  CHU Yan-dong
Abstract:In this paper,synchronization and anti-synchronization of the n-dimensional autonomous chaotic system are studied.Based on the Lyapunov stability theory,a kind of slave system is designed to realize the synchronization and anti-synchronization.And theoretically,it is proved that the dynamics of the synchronization error is globally and asymptotically stable.Taking the chaotic Rossler system as an example,numerical simulations by Matlab are also provided to demonstrate the validity of the proposed slave system to achieve chaotic synchronization and anti-synchronization.
Keywords:n-dimensional autonomous chaotic system  chaotic synchronization  anti-synchronization  slave system  numerical simulation
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