Pattern formation in multiplex networks.

ABSTRACT: The advances in understanding complex networks have generated increasing interest in dynamical processes occurring on them. Pattern formation in activator-inhibitor systems has been studied in networks, revealing differences from the classical continuous media. Here we study pattern formation in a new framework, namely multiplex networks. These are systems where activator and inhibitor species occupy separate nodes in different layers. Species react across layers but diffuse only within their own layer of distinct network topology. This multiplicity generates heterogeneous patterns with significant differences from those observed in single-layer networks. Remarkably, diffusion-induced instability can occur even if the two species have the same mobility rates; condition which can never dest

SUBMITTER: Kouvaris NE 

PROVIDER: S-EPMC4455352 | biostudies-literature | 2015 Jun

REPOSITORIES: biostudies-literature