TY - JOUR

T1 - Detecting and describing dynamic equilibria in adaptive networks

AU - Wieland, S.

AU - Parisi, A.

AU - Nunes, A.

PY - 2012/9

Y1 - 2012/9

N2 - We review modeling attempts for the paradigmatic contact process (or SIS model) on adaptive networks. Elaborating on one particular proposed mechanism of topology change (rewiring) and its mean field analysis, we obtain a coarse-grained view of coevolving network topology in the stationary active phase of the system. Introducing an alternative framework applicable to a wide class of adaptive networks, active stationary states are detected, and an extended description of the resulting steady-state statistics is given for three different rewiring schemes. We find that slight modifications of the standard rewiring rule can result in either minuscule or drastic change of steady-state network topologies.

AB - We review modeling attempts for the paradigmatic contact process (or SIS model) on adaptive networks. Elaborating on one particular proposed mechanism of topology change (rewiring) and its mean field analysis, we obtain a coarse-grained view of coevolving network topology in the stationary active phase of the system. Introducing an alternative framework applicable to a wide class of adaptive networks, active stationary states are detected, and an extended description of the resulting steady-state statistics is given for three different rewiring schemes. We find that slight modifications of the standard rewiring rule can result in either minuscule or drastic change of steady-state network topologies.

KW - European Physical Journal Special Topic

KW - Degree Distribution

KW - Adaptive Network

KW - Moment Closure

KW - Motif Density

U2 - 10.1140/epjst/e2012-01656-5

DO - 10.1140/epjst/e2012-01656-5

M3 - Review article

AN - SCOPUS:84866500833

VL - 212

SP - 99

EP - 113

JO - European Physical Journal - Special Topics

JF - European Physical Journal - Special Topics

SN - 1951-6355

IS - 1

ER -