title: Time-scale competition leading to fragmentation and recombination transitions in the coevolution of network and states.
abstract: We study the coevolution of network structure and node states in a model of multiple state interacting agents. The system displays two transitions, network recombination and fragmentation, governed by time scales that emerge from the dynamics. The recombination transition separates a frozen configuration, composed by disconnected network components whose agents share the same state, from an active configuration, with a fraction of links that are continuously being rewired. The nature of this transition is explained analytically as the maximum of a characteristic time. The fragmentation transition, that appears between two absorbing frozen phases, is an anomalous order-disorder transition, governed by a crossover between the time scales that control the structure and state dynamics.
authors.affiliation: IFISC, Instituto de Física Interdisicplinar y Sistemas Complejos (CSIC-UIB), E-07122 Palma de Mallorca, Spain. federico@ifisc.uib.es
authors.forename: Federico
authors.initials: F
authors.lastname: Vazquez
authors.forename: Juan Carlos
authors.initials: JC
authors.lastname: González-Avella
authors.forename: Víctor M
authors.initials: VM
authors.lastname: Eguíluz
authors.forename: Maxi
authors.initials: M
authors.lastname: San Miguel