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Further Analysis of Global Synchronisation for Networks of Identical Cells with Delayed Coupling

Published online by Cambridge University Press:  07 September 2015

Chun-Hsien Li  and
Ren-Chuen Chen
Chun-Hsien Li*
Affiliation:
Department of Mathematics, National Kaohsiung Normal University, Yanchao District, Kaohsiung City 82444, Taiwan
Ren-Chuen Chen
Affiliation:
Department of Mathematics, National Kaohsiung Normal University, Yanchao District, Kaohsiung City 82444, Taiwan
*
*Corresponding author. Email addresses: [email protected] (C.-H. Li), [email protected] (R.-C. Chen)
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Abstract

Synchronisation is one of the most interesting collective motions observed in large-scale complex networks of interacting dynamical systems. We consider global synchronisation for networks of nonlinearly coupled identical cells with time delays, using an approach where the synchronisation problem is converted to solving an homogeneous linear system. This approach is extended to fit networks under more general coupling topologies, and we derive four delay-dependent and delay-independent criteria that ensure the coupled dynamical network is globally synchronised. Some examples show that the four criteria are not mutually inclusive, and numerical simulations also demonstrate our theoretical results.

Keywords

05C8234C1534D0692B20Synchronisationcomplex networkscoupled systemtime delay
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 5 , Issue 3 , August 2015 , pp. 238 - 255
Copyright
Copyright © Global-Science Press 2015 

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