Open AccessAdaptive synchronization in united complex dynamical network with multi-links
Author(s) -
Yang Gao,
Lixiang Li,
Haipeng Peng,
Yixian Yang,
Xiaohong Zhang
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.2081
Subject(s) - synchronization (alternating current) , computer science , complex network , stability theory , lyapunov stability , synchronization networks , dynamical systems theory , stability (learning theory) , lyapunov function , control theory (sociology) , topology (electrical circuits) , mathematics , distributed computing , telecommunications , nonlinear system , artificial intelligence , physics , control (management) , machine learning , quantum mechanics , combinatorics , world wide web , channel (broadcasting)
This paper further investigates the locally and globally adaptive synchronization of united complex dynamical networks based on a new method of network split. Time-delay has been introduced into networks to split and upon which a model of united complex dynamical networks with multi-links has been constructed. Several new locally and globally asymptotically stable network synchronization criteria are deduced by using Lyapunov stability theory and some hypotheses. The validity of the results was proved through numerical simulation of this paper.