Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 387, Issue 16-17, Pages 4429-4439Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2008.03.005
Keywords
global synchronization; asymmetrical coupling matrix; nonlinear coupling function; projection method; the left eigenvector
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In this paper, the global synchronization for an array of nonlinearly coupled identical chaotic systems is investigated. A distinctive feature of this work is to address synchronization issues for nonlinearly coupled complex networks with an asymmetrical coupling matrix. By projecting the nonlinearly coupling function onto a linear one and assuming the difference between them as a disturbing function, we give some criteria for the global synchronization in virtual of the left eigenvector Corresponding to the zero eigenvalue of the coupling matrix. Numerical examples are also provided to demonstrate the effectiveness of the theory. (C) 2008 Elsevier B.V. All rights reserved.
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