Generalized spatiotemporal chaos synchronization of the Ginzburg–Landau equation

doi:10.1088/1674-1056/20/12/120505

中国物理B ›› 2011, Vol. 20 ›› Issue (12): 120505-120505.doi: 10.1088/1674-1056/20/12/120505

Generalized spatiotemporal chaos synchronization of the Ginzburg–Landau equation

徐振源¹, 金英花²

(1)School of Information Technology, Jiangnan University, Wuxi 214122, China; (2)School of Sciences, Jiangnan University, Wuxi 214122, China

收稿日期:2011-01-14 修回日期:2011-06-30 出版日期:2011-12-15 发布日期:2011-12-15
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities (Grant No. JUSRP211A21) and the National Natural Science Foundation of China (Grant No. 11002061).

Generalized spatiotemporal chaos synchronization of the Ginzburg–Landau equation

Jin Ying-Hua(金英花)^a)† and Xu Zhen-Yuan(徐振源)^b)

^a School of Sciences, Jiangnan University, Wuxi 214122, China; ^b School of Information Technology, Jiangnan University, Wuxi 214122, China

Received:2011-01-14 Revised:2011-06-30 Online:2011-12-15 Published:2011-12-15
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities (Grant No. JUSRP211A21) and the National Natural Science Foundation of China (Grant No. 11002061).

摘要/Abstract

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 Hölder 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, spatiotemporal chaos, attractor

Abstract: 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 Hölder continuous generalized synchronization exist in the coupling system. Numerical result analysis shows the correctness of theory.

Key words: generalized synchronization manifold, Ginzburg-Landau equation, spatiotemporal chaos, attractor

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

金英花, 徐振源. Generalized spatiotemporal chaos synchronization of the Ginzburg–Landau equation[J]. 中国物理B, 2011, 20(12): 120505-120505.

Jin Ying-Hua(金英花) and Xu Zhen-Yuan(徐振源) . Generalized spatiotemporal chaos synchronization of the Ginzburg–Landau equation[J]. Chin. Phys. B, 2011, 20(12): 120505-120505.

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Generalized spatiotemporal chaos synchronization of the Ginzburg–Landau equation

Generalized spatiotemporal chaos synchronization of the Ginzburg–Landau equation

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