Stability analysis of complex networks with multi-links

被引：16

作者：

Gao Yang ^{[1
]}

Li Li-Xiang ^{[1
]}

Peng Hai-Peng ^{[1
]}

Yang Yi-Xian ^{[1
]}

Zhang Xiao-Hong ^{[1
,2
]}

机构：

[1] Beijing Univ Posts & Telecommun, Informat Secur Ctr, State Key Lab Networking & Switching Technol, Beijing 100876, Peoples R China

[2] Jiangxi Univ Sci & Technol, Sch Informat Engn, Ganzhou 341000, Peoples R China

来源：

ACTA PHYSICA SINICA | 2008年 / 57卷 / 03期

关键词：

complex networks with multi-links; network split; time-delay; Lyapunov theory;

D O I：

10.7498/aps.57.1444

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a new idea about network split is presented according to the different nature of the network links. Time-delay has been introduced into networks to effect the split and on that a model of complex dynamical networks with multi-links has been constructed. Based on Lyapunov theory, the stability analysis of networks with multi-links is also studied. The sufficient conditions of the stability of networks with time-delay and without time-delay are respectively presented. The validility of the results are proved by numerical simulation of this paper.

引用

页码：1444 / 1452

页数：9

共 19 条

[1] Emergence of scaling in random networks [J].