Lorenz系统与Chen系统的完全同步  

Complete synchronization between Lorenz system and Chen system

作　　者：潘晓明[1] 李传东[2] 韩琦[2] 

机构地区：[1]柳州师范高等专科学校物理与信息科学系,广西柳州545004 [2]重庆大学计算机学院,重庆400030

出　　处：《广西工学院学报》2012年第3期23-25,44,共4页Journal of Guangxi University of Technology

基　　金：国家自然科学基金(60974020)资助

摘　　要：在驱动-响应同步机制下,两个不同混沌系统之间的完全同步问题还没有得到大量的研究.对Lorenz系统和Chen系统这两个不同的混沌系统,采用积极控制方法,设计了一个非线性同步控制器,并通过严格的理论分析提出了保证误差系统在零点渐近稳定的充分条件,从而实现了Lorenz与Chen两个不同混沌系统的完全同步.数值模拟验证了该同步方案的正确性和有效性.Under the drive-response synchronization mechanism, the complete synchronization problem of the two different chaotic systems hasn＇t been given enough research. For the two different chaotic systems--Lorenz system and Chen system, we designed a nonlinear synchronous controller by taking active control method, and put forward the sufficient condition for the asymptotic stability of the error system at zero point through rigorous theoretical analysis, thus managed to achieve the full synchronization of these two different systems. The numerical simulation also verified the correctness and effectiveness of this synchronization scheme.

关 键 词：混沌系统 完全同步 积极控制 LORENZ系统 CHEN系统 

分 类 号：O415.5[理学—理论物理]