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Detecting and describing dynamic equilibria in adaptive networks

Research output: Contribution to journalReview articlepeer-review

Published
  • S. Wieland
  • A. Parisi
  • A. Nunes
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<mark>Journal publication date</mark>09/2012
<mark>Journal</mark>European Physical Journal - Special Topics
Issue number1
Volume212
Number of pages15
Pages (from-to)99-113
Publication StatusPublished
<mark>Original language</mark>English

Abstract

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.