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Synchronization of networks with time-varying couplings
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Lu, Wenlian and Chen, Tian-ping (2013) Synchronization of networks with time-varying couplings. Applied Mathematics- A Journal of Chinese Universities, Volume 28 (Number 4). pp. 438-454. doi:10.1007/s11766-013-3208-5 ISSN 1005-1031.
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Official URL: http://dx.doi.org/10.1007/s11766-013-3208-5
Abstract
In this paper, we present a review of our recent works on complete synchronization analyses of networks of the coupled dynamical systems with time-varying couplings. The main approach is composed of algebraic graph theory and dynamic system method. More precisely, the Hajnal diameter of matrix sequence plays a key role in investigating synchronization dynamics and the joint graph across time periods possessing spanning tree is a doorsill for time-varying topologies to reach synchronization. These techniques with proper modification count for diverse models of networks of the coupled systems, including discrete-time and continuous-time models, linear and nonlinear models, deterministic and stochastic time-variations. Alternatively, transverse stability analysis of general time-varying dynamic systems can be employed for synchronization study as a special case and proved to be equivalent to Hajnal diameter.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
Journal or Publication Title: | Applied Mathematics- A Journal of Chinese Universities | ||||
Publisher: | Zhejiang University * Department of Mathematics | ||||
ISSN: | 1005-1031 | ||||
Official Date: | 2013 | ||||
Dates: |
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Volume: | Volume 28 | ||||
Number: | Number 4 | ||||
Page Range: | pp. 438-454 | ||||
DOI: | 10.1007/s11766-013-3208-5 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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