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Criterion for Unbounded Synchronous Region in Complex Networks
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Synchronization of complex networks has been extensively studied in many fields, where intensive efforts have been devoted to the understanding of its mechanisms.
As for discriminating network synchronizability by Master Stability Function method, a dilemma usually encountered is that we have no prior knowledge of the network type that the synchronous region belongs to.
In this paper, we investigate a sufficient condition for a general complex dynamical network in the absence of control.
A main result is that, when the coupling strength is sufficiently strong, the dynamical network achieves synchronization provided that the symmetric part of the inner-coupling matrix is positive definite.
According to our results, synchronous region of the network with positive definite inner-coupling matrix belongs to the unbounded one, and then the eigenvalue of the outer-coupling matrix nearest 0 can be used for judging synchronizability.
Even though we cannot gain the necessary and sufficient conditions for synchronizing a network so far, our results constitute a first step toward a better understanding of network synchronization.
American Psychological Association (APA)
Zhou, Jin. 2013. Criterion for Unbounded Synchronous Region in Complex Networks. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-477649
Modern Language Association (MLA)
Zhou, Jin. Criterion for Unbounded Synchronous Region in Complex Networks. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-477649
American Medical Association (AMA)
Zhou, Jin. Criterion for Unbounded Synchronous Region in Complex Networks. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-477649
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477649