Generalized spatiotemporal chaos synchronization of the Ginzburg-Landau equation  

作　　者：金英花 徐振源 

机构地区：[1]School of Sciences,Jiangnan University [2]School of Information Technology,Jiangnan University

出　　处：《Chinese Physics B》2011年第12期130-142,共13页中国物理B（英文版）

基　　金：Project supported by the Fundamental Research Funds for the Central Universities (Grant No. JUSRP211A21);the National Natural Science Foundation of China (Grant No. 11002061)

摘　　要：In this paper, the generalized synchronization of two unidirectionally coupled Ginzburg Landau equations is studied theoretically. It is demonstrated that the drive-response system has bounded attraction domain and compact attractors. It is derived that the correction equation has asymptotically stable zero solutions under certain conditions and that the sufficient conditions for smooth generalized synchronization and Holder continuous generalized synchronization exist in the coupling system. Numerical result analysis shows the correctness of theory.In this paper, the generalized synchronization of two unidirectionally coupled Ginzburg Landau equations is studied theoretically. It is demonstrated that the drive-response system has bounded attraction domain and compact attractors. It is derived that the correction equation has asymptotically stable zero solutions under certain conditions and that the sufficient conditions for smooth generalized synchronization and Holder continuous generalized synchronization exist in the coupling system. Numerical result analysis shows the correctness of theory.

关 键 词：generalized synchronization manifold Ginzburg Landau equation spatiotemporalchaos ATTRACTOR 

分 类 号：O415.5[理学—理论物理]