摘要
基于网络拆分的思想对多重边融合复杂动态网络局部和全局的自适应同步进行了研究.通过给出严格的数学定义及假设,运用Lyapunov稳定理论得出了网络局部和全局的同步准则,给出了更为简单的网络同步的控制器.最后以Lorenz系统为例进行数值仿真,验证了结论的正确性和有效性.
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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2008年第4期2081-2091,共11页
Acta Physica Sinica
基金
国家重点基础研究发展规划(批准号:2007CB310704)
国家自然科学基金(批准号:60673098)
高等学校博士学科点专项科研基金(批准号:20070013005)资助的课题~~
关键词
多重边融合复杂动态网络
自适应同步
网络拆分
时滞
united complex networks with multi-links, adaptive synchronization, network split, time-delay