Synchronization Analysis of Two Coupled Complex Networks with Time Delays | Zendy

Weigang Sun | Zendy; Jingyuan Zhang | Zendy; Changpin Li | Zendy

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Synchronization Analysis of Two Coupled Complex Networks with Time Delays

Author(s) -

Weigang Sun,

Jingyuan Zhang,

Changpin Li

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/209321

Subject(s) - synchronization (alternating current) , control theory (sociology) , lyapunov stability , synchronization networks , stability (learning theory) , complex network , computer science , mathematics , topology (electrical circuits) , artificial intelligence , control (management) , combinatorics , machine learning , world wide web

This paper studies the synchronized motions between two complex networks with time delays,which include individual inner synchronization in each network and outer synchronization betweentwo networks. Based on the Lyapunov stability theory and the linear matrix equality (LMI), asynchronous criterion for inner synchronization inside each network is derived. Numerical examplesare given which fit the theoretical analysis. In addition, the involved numerical results show thatthe delays between two networks have little effect on inner synchronization. It is also shown thatsynchronous motions within each network or between two networks are not enhanced if individualintranetwork connections are allowed

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