Generalized spatiotemporal chaos synchronization of the Ginzburg–Landau equation

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

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.

Keywords: generalized synchronization manifold Ginzburg-Landau equation spatiotemporal chaos attractor

Received: 14 January 2011
Revised: 30 June 2011
Accepted manuscript online:

PACS:

05.45.Xt

(Synchronization; coupled oscillators)

Fund: 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).

Cite this article:

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

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Generalized spatiotemporal chaos synchronization of the Ginzburg–Landau equation

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