分数阶复杂网络的同步分析  

Synchronization Analysis of Fractional Complex Networks

作　　者：梁泽亮[1] 陈星星[1] 陈安[1] 

机构地区：[1]上海大学数学系,上海200444

出　　处：《应用数学与计算数学学报》2010年第2期101-106,共6页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(No.10872119)

摘　　要：本文主要研究了节点动力学为Caputo型的分数阶微分方程的复杂网络的同步,建立了判定分数阶网络的同步定理.数值例子验证了理论结果的有效性.In this paper we mainly study synchronization of complex network with fractional dynamical nodes,where the fractional derivative denotes the Caputo derivative. The theoretical criterion of synchronization inside a fractional complex network is established.Numerical examples are in line with the theoretical analysis.

关 键 词：CAPUTO导数 复杂网络 同步 

分 类 号：O157.5[理学—数学]