Pinning controllability of complex networks with community structure

被引：16

作者：

Miao, Qingying ^{[1
]}

Tang, Yang ^{[2
,3
]}

Kurths, Juergen ^{[2
,3
,4
]}

Fang, Jian-an ^{[5
]}

Wong, W. K. ^{[6
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Continuing Educ, Shanghai 200030, Peoples R China

[2] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany

[3] Potsdam Inst Climate Impact Res, D-14415 Potsdam, Germany

[4] Univ Aberdeen, Inst Complex Syst & Math Biol, Aberdeen AB24 3UE, Scotland

[5] Donghua Univ, Dept Automat, Shanghai 201620, Peoples R China

[6] Hong Kong Polytech Univ, Inst Text & Clothing, Hong Kong, Hong Kong, Peoples R China

来源：

CHAOS | 2013年 / 23卷 / 03期

基金：

上海市自然科学基金; 中国国家自然科学基金;

关键词：

SCALE-FREE NETWORKS; SYNCHRONIZATION;

D O I：

10.1063/1.4816009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the controllability of networks with different numbers of communities and various strengths of community structure. By means of simulations, we show that the degree descending pinning scheme performs best among several considered pinning schemes under a small number of pinned nodes, while the degree ascending pinning scheme is becoming more powerful by increasing the number of pinned nodes. It is found that increasing the number of communities or reducing the strength of community structure is beneficial for the enhancement of the controllability. Moreover, it is revealed that the pinning scheme with evenly distributed pinned nodes among communities outperforms other kinds of considered pinning schemes. (C) 2013 AIP Publishing LLC.

引用

页数：7

共 31 条

[11] Instability and controllability of linearly coupled oscillators: Eigenvalue analysis
Hu, G
Yang, JZ
Liu, WJ
[J]. PHYSICAL REVIEW E, 1998, 58 (04): : 4440 - 4453
[12] Spontaneous evolution of modularity and network motifs
Kashtan, N
Alon, U
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2005, 102 (39) : 13773 - 13778
[13] Pinning a complex dynamical network to its equilibrium
Li, X
Wang, XF
Chen, GR
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2004, 51 (10) : 2074 - 2087
[14] Controllability of complex networks
Liu, Yang-Yu
Slotine, Jean-Jacques
Barabasi, Albert-Laszlo
[J]. NATURE, 2011, 473 (7346) : 167 - 173
[15] Effects of degree correlation on the controllability of networks
Miao, Qingying
Rong, Zhihai
Tang, Yang
Fang, Jianan
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (24) : 6225 - 6230
[16] Newman MEJ, 2004, PHYS REV E, V69, DOI 10.1103/PhysRevE.69.066133
[17] Finding and evaluating community structure in networks
Newman, MEJ
Girvan, M
[J]. PHYSICAL REVIEW E, 2004, 69 (02) : 026113 - 1
[18] Effects of the network structural properties on its controllability
Sorrentino, Francesco
[J]. CHAOS, 2007, 17 (03)
[19] Controllability of complex networks via pinning
Sorrentino, Francesco
di Bernardo, Mario
Garofalo, Franco
Chen, Guanrong
[J]. PHYSICAL REVIEW E, 2007, 75 (04)
[20] Distributed Synchronization of Coupled Neural Networks via Randomly Occurring Control
Tang, Yang
Wong, Wai Keung
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2013, 24 (03) : 435 - 447

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