Analytical calculation of fragmentation transitions in adaptive networks

被引：46

作者：

Boehme, Gesa A. ^{[1
]}

Gross, Thilo ^{[1
]}

机构：

[1] Max Planck Inst Phys Komplexer Syst, DE-01187 Dresden, Germany

来源：

PHYSICAL REVIEW E | 2011年 / 83卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.83.035101

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：

In adaptive networks, fragmentation transitions have been observed in which the network breaks into disconnected components. We present an analytical approach for calculating the transition point in general adaptive network models. Using the example of an adaptive voter model, we demonstrate that the proposed approach yields good agreement with numerical results.

引用

页数：4

共 20 条

[1] Statistical mechanics of complex networks [J].

Albert, R ;

Barabási, AL .

REVIEWS OF MODERN PHYSICS, 2002, 74 (01) :47-97

[2] Complex networks: Structure and dynamics [J].

Boccaletti, S. ;

Latora, V. ;

Moreno, Y. ;

Chavez, M. ;

Hwang, D. -U. .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 424 (4-5) :175-308

[3] Topological evolution of dynamical networks: Global criticality from local dynamics [J].

Bornholdt, S ;

Rohlf, T .

PHYSICAL REVIEW LETTERS, 2000, 84 (26) :6114-6117

[4]

DEMIREL GB, UNPUB

[5] Analytical search for bifurcation surfaces in parameter space [J].

Gross, T ;

Feudel, U .

PHYSICA D-NONLINEAR PHENOMENA, 2004, 195 (3-4) :292-302

[6]

Gross T, 2009, UNDERST COMPLEX SYST, P1, DOI 10.1007/978-3-642-01284-6

[7] Adaptive coevolutionary networks: a review [J].

Gross, Thilo ;

Blasius, Bernd .

JOURNAL OF THE ROYAL SOCIETY INTERFACE, 2008, 5 (20) :259-271

[8] Epidemic dynamics on an adaptive network [J].

Gross, Thilo ;

D'Lima, Carlos J. Dommar ;

Blasius, Bernd .

PHYSICAL REVIEW LETTERS, 2006, 96 (20)

[9] ERGODIC THEOREMS FOR WEAKLY INTERACTING INFINITE SYSTEMS AND VOTER MODEL [J].

HOLLEY, RA ;

LIGGETT, TM .

ANNALS OF PROBABILITY, 1975, 3 (04) :643-663

[10] Spontaneous structure formation in a network of chaotic units with variable connection strengths [J].

Ito, J ;

Kaneko, K .

PHYSICAL REVIEW LETTERS, 2002, 88 (02) :287011-287014

← 1 2 →