Cluster mixed synchronization via pinning control and adaptive coupling strength in community networks with nonidentical nodes

被引：52

作者：

Wu, Zhaoyan ^{[1
]}

Fu, Xinchu ^{[2
]}

机构：

[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 04期

关键词：

Cluster mixed synchronization; Community network; Pinning control;

D O I：

10.1016/j.cnsns.2011.09.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, complex networks with community structure and nonidentical nodes are investigated. The cluster mixed synchronization of these networks is studied by using some linear pinning control schemes. Only the nodes in one community which have direct connections to the nodes in other communities are controlled. Adaptive coupling strength method is adopted to achieve the synchronization as well. According to Lyapunov stability theory, several sufficient conditions for the network to achieve cluster mixed synchronization are derived. Numerical simulations are provided to verify the correctness and the effectiveness of the theoretical results. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1628 / 1636

页数：9

共 23 条

[1] Adaptive control of nonlinear in parameters chaotic system via Lyapunov exponents placement [J].

Ayati, Moosa ;

Khaki-Sedigh, Ali .

CHAOS SOLITONS & FRACTALS, 2009, 41 (04) :1980-1986

[2] Synchronization is enhanced in weighted complex networks [J].

Chavez, M ;

Hwang, DU ;

Amann, A ;

Hentschel, HGE ;

Boccaletti, S .

PHYSICAL REVIEW LETTERS, 2005, 94 (21)

[3] Global exponential synchronization of delayed fuzzy cellular neural networks with impulsive effects [J].

Feng, Xiaomei ;

Zhang, Fengqin ;

Wang, Wenjuan .

CHAOS SOLITONS & FRACTALS, 2011, 44 (1-3) :9-16

[4] Persistence of cluster synchronization under the influence of advection [J].

Guirey, Emma ;

Bees, Martin ;

Martin, Adrian ;

Srokosz, Meric .

PHYSICAL REVIEW E, 2010, 81 (05)

[5] Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control [J].

Hu, Cheng ;

Yu, Juan ;

Jiang, Haijun ;

Teng, Zhidong .

CHAOS, 2010, 20 (02)

[6] Projective cluster synchronization in drive-response dynamical networks [J].

Hu, Manfeng ;

Xu, Zhenyuan ;

Yang, Yongqing .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (14) :3759-3768

[7] Emergence of communities in weighted networks [J].

Kumpula, Jussi M. ;

Onnela, Jukka-Pekka ;

Saramaki, Jari ;

Kaski, Kimmo ;

Kertesz, Janos .

PHYSICAL REVIEW LETTERS, 2007, 99 (22)

[8] Synchronization in general complex dynamical networks with coupling delays [J].

Li, CG ;

Chen, GR .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 343 :263-278

[9] Generation of clusters in complex dynamical networks via pinning control [J].

Li, Kezan ;

Small, Michael ;

Fu, Xinchu .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (50)

[10] Consensus over directed static networks with arbitrary finite communication delays [J].

Lu, Jianquan ;

Ho, Daniel W. C. ;

Kurths, Juergen .

PHYSICAL REVIEW E, 2009, 80 (06)

← 1 2 3 →