title: Analytic description of adaptive network topologies in a steady state.
abstract: In many complex systems, states and interaction structure coevolve towards a dynamic equilibrium. For the adaptive contact process, we obtain approximate expressions for the degree distributions that characterize the interaction network in such active steady states. These distributions are shown to agree quantitatively with simulations except when rewiring is much faster than state update and used to predict and to explain general properties of steady-state topologies. The method generalizes easily to other coevolutionary dynamics.
authors.affiliation: Bernstein Center for Computational Neuroscience and Department of Physics, Humboldt University, 10115 Berlin, Germany.
authors.forename: Stefan
authors.initials: S
authors.lastname: Wieland
authors.affiliation: BioISI Biosystems & Integrative Sciences Institute and Departamento de Física, Faculdade de Ciências da Universidade de Lisboa, P-1749-016 Lisboa, Portugal.
authors.forename: Ana
authors.initials: A
authors.lastname: Nunes