Phase ordering in coupled noisy bistable systems on scale-free networks

被引：19

作者：

Atsumi, Yu ^{[1
]}

Hata, Shigefumi ^{[2
]}

Nakao, Hiroya ^{[3
]}

机构：

[1] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan

[2] Max Planck Gesell, Fritz Haber Inst, Dept Phys Chem, D-14195 Berlin, Germany

[3] Tokyo Inst Technol, Grad Sch Informat Sci & Engn, Tokyo 1528552, Japan

来源：

PHYSICAL REVIEW E | 2013年 / 88卷 / 05期

关键词：

MEAN-FIELD MODEL; H-THEOREM; STATISTICAL-MECHANICS; TURING PATTERNS; DYNAMICS; SYNCHRONIZATION; RESONANCE;

D O I：

10.1103/PhysRevE.88.052806

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study a system consisting of diffusively coupled noisy bistable elements on a scale-free random network. This system exhibits an order-disorder phase transition as the noise intensity is varied. The phase ordering process takes place consecutively and in order of the degrees, reflecting strong degree heterogeneity of the scale-free network. A nonlinear Fokker-Planck equation describing the network dynamics is derived under mean-field approximation of the network, and is used to explain the phase ordering dynamics of the system.

引用

页数：15

共 50 条

[1] Noisy scale-free networks
Scholz, J
Dejori, M
Stetter, M
Greiner, M
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 350 (2-4) : 622 - 642
[2] Phase Locking Induces Scale-Free Topologies in Networks of Coupled Oscillators
Sendina-Nadal, Irene
Buldu, Javier M.
Leyva, Inmaculada
Boccaletti, Stefano
[J]. PLOS ONE, 2008, 3 (07):
[3] Scale-free networks in complex systems
Bartolozzi, M
Leinweber, DB
Surungan, T
Thomas, AW
Williams, AG
[J]. COMPLEX SYSTEMS-BK 2, 2006, 6039
[4] Exactly scale-free scale-free networks
Zhang, Linjun
Small, Michael
Judd, Kevin
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 433 : 182 - 197
[5] Phase transition in the biconnectivity of scale-free networks
Kim, P.
Lee, D. -S.
Kahng, B.
[J]. PHYSICAL REVIEW E, 2013, 87 (02)
[6] Modeling belief systems with scale-free networks
Antal, Miklos
Balogh, Laszlo
[J]. NEURAL NETWORKS, 2009, 22 (10) : 1359 - 1371
[7] Subnets of scale-free networks are not scale-free: Sampling properties of networks
Stumpf, MPH
Wiuf, C
May, RM
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2005, 102 (12) : 4221 - 4224
[8] Scale-free networks
Barabási, AL
Bonabeau, E
[J]. SCIENTIFIC AMERICAN, 2003, 288 (05) : 60 - 69
[9] Effect of DisCSP variable-ordering heuristics in scale-free networks
Okimoto, Tenda
Iwasaki, Atsushi
Yokoo, Makoto
[J]. MULTIAGENT AND GRID SYSTEMS, 2012, 8 (02) : 127 - 141
[10] Effect of DisCSP Variable-Ordering Heuristics in Scale-Free Networks
Okimoto, Tenda
Iwasaki, Atsushi
Yokoo, Makoto
[J]. PRINCIPLES AND PRACTICE OF MULTI-AGENT SYSTEMS, 2012, 7057 : 166 - 180

← 1 2 3 4 5 →