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Detecting and describing dynamic equilibria in adaptive networks

Wieland, S. and Parisi, A. and Nunes, A. (2012) Detecting and describing dynamic equilibria in adaptive networks. European Physical Journal - Special Topics, 212 (1). pp. 99-113. ISSN 1951-6355

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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.

Item Type: Journal Article
Journal or Publication Title: European Physical Journal - Special Topics
Uncontrolled Keywords: European Physical Journal Special Topic ; Degree Distribution ; Adaptive Network ; Moment Closure ; Motif Density
Subjects:
Departments: Faculty of Health and Medicine > Medicine
ID Code: 125060
Deposited By: ep_importer_pure
Deposited On: 09 May 2018 16:06
Refereed?: Yes
Published?: Published
Last Modified: 24 Jul 2018 05:55
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/125060

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