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Achieving Synchronization in Arrays of Coupled Differential Systems with Time-Varying Couplings
Joint Authors
Chen, Tianping
Lu, Wenlian
Yi, Xinlei
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-15
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We study complete synchronization of the complex dynamical networks described by linearly coupled ordinary differential equation systems (LCODEs).
Here, the coupling is timevarying in both network structure and reaction dynamics.
Inspired by our previous paper (Lu et al.
(2007-2008)), the extended Hajnal diameter is introduced and used to measure the synchronization in a general differential system.
Then we find that the Hajnal diameter of the linear system induced by the time-varying coupling matrix and the largest Lyapunov exponent of the synchronized system play the key roles in synchronization analysis of LCODEs with identity inner coupling matrix.
As an application, we obtain a general sufficient condition guaranteeing directed time-varying graph to reach consensus.
Example with numerical simulation is provided to show the effectiveness of the theoretical results.
American Psychological Association (APA)
Yi, Xinlei& Lu, Wenlian& Chen, Tianping. 2013. Achieving Synchronization in Arrays of Coupled Differential Systems with Time-Varying Couplings. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-448354
Modern Language Association (MLA)
Yi, Xinlei…[et al.]. Achieving Synchronization in Arrays of Coupled Differential Systems with Time-Varying Couplings. Abstract and Applied Analysis No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-448354
American Medical Association (AMA)
Yi, Xinlei& Lu, Wenlian& Chen, Tianping. Achieving Synchronization in Arrays of Coupled Differential Systems with Time-Varying Couplings. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-448354
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448354