2012/09/01 by Stefan Wieland, Andrea Parisi, Ana Nunes · 5 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Decision Sciences · Mathematics · Physics and Astronomy · #Artificial intelligence #Class (philosophy) #Complex Network Analysis Techniques #Computer science #Field (mathematics) #Game Theory and Applications #Mathematics #Mechanism (biology) #Network topology #Opinion Dynamics and Social Influence #Physics #Process (computing) #Steady state (chemistry) #Topology (electrical circuits) #cs.SI #nlin.AO #physics.soc-ph #q-bio.PE
paper · pdf · doi:10.1140/epjst/e2012-01656-5
published in The European Physical Journal Special Topics 212(1), 99-113 (Springer Science+Business Media) · 14 pages, 10 figures; typo in the third of Eqs. (1) corrected
openalex publication_date 2012/09/01 · arxiv created 2013/03/01 · arxiv updated 2013/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.