Adaptive synchronization in united complex dynamical network with multi-links
Yang Gao, Lixiang Li, Haipeng Peng, Yixian Yang, Xiaohong Zhang, (1)北京邮电大学网络与交换技术国家重点实验室，北京 100876; (2)北京邮电大学网络与交换技术国家重点实验室，北京 100876；江西理工大学信息工程学院，赣州 341000 · Acta Physica Sinica · 2008
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.