Construction principles for highly synchronizable sparse directed networks

被引:17
作者
Brede, Markus [1 ]
机构
[1] CSIRO Marine & Atmospher Res, Can berra, ACT 2601, Australia
关键词
D O I
10.1016/j.physleta.2008.06.017
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter sparse directed interaction networks of heterogeneous Kuramoto oscillators that give rise to enhanced synchronization properties are generated and analyzed. The particular networks, which allow for the transition to full synchronization for the smallest coupling strength, i.e., optimal networks, are found to be very homogeneous in the in-degree distribution, but exhibit very skewed out-degree distributions. Various correlations between in- and out-degree structure, oscillator heterogeneity and component structure, which are linked to an enhanced synchronizability, are discussed. Crown Copyright (C) 2008 Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:5305 / 5308
页数:4
相关论文
共 16 条
[1]   Locals vs. global synchronization in networks of non-identical Kuramoto oscillators [J].
Brede, M. .
EUROPEAN PHYSICAL JOURNAL B, 2008, 62 (01) :87-94
[2]   Synchrony-optimized networks of non-identical Kuramoto oscillators [J].
Brede, Markus .
PHYSICS LETTERS A, 2008, 372 (15) :2618-2622
[3]   Synchronization is enhanced in weighted complex networks [J].
Chavez, M ;
Hwang, DU ;
Amann, A ;
Hentschel, HGE ;
Boccaletti, S .
PHYSICAL REVIEW LETTERS, 2005, 94 (21)
[4]   Large-scale inference and graph-theoretical analysis of gene-regulatory networks in B-Subtilis [J].
Christensen, Claire ;
Gupta, Anshuman ;
Maranas, Costas D. ;
Albert, Reka .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 373 :796-810
[5]   Network structures from selection principles [J].
Colizza, V ;
Banavar, JR ;
Maritan, A ;
Rinaldo, A .
PHYSICAL REVIEW LETTERS, 2004, 92 (19) :198701-1
[6]   Entangled networks, synchronization, and optimal network topology -: art. no. 188701 [J].
Donetti, L ;
Hurtado, PI ;
Muñoz, MA .
PHYSICAL REVIEW LETTERS, 2005, 95 (18)
[7]   Topological and causal structure of the yeast transcriptional regulatory network [J].
Guelzim, N ;
Bottani, S ;
Bourgine, P ;
Képès, F .
NATURE GENETICS, 2002, 31 (01) :60-63
[8]   Synchronization in complex networks with age ordering [J].
Hwang, DU ;
Chavez, M ;
Amann, A ;
Boccaletti, S .
PHYSICAL REVIEW LETTERS, 2005, 94 (13)
[9]   The large-scale organization of metabolic networks [J].
Jeong, H ;
Tombor, B ;
Albert, R ;
Oltvai, ZN ;
Barabási, AL .
NATURE, 2000, 407 (6804) :651-654
[10]  
Kuramoto Y., 1984, CHEM OSCILLATIONS WA