title: Stability of Boolean multilevel networks.
abstract: The study of the interplay between the structure and dynamics of complex multilevel systems is a pressing challenge nowadays. In this paper, we use a semiannealed approximation to study the stability properties of random Boolean networks in multiplex (multilayered) graphs. Our main finding is that the multilevel structure provides a mechanism for the stabilization of the dynamics of the whole system even when individual layers work on the chaotic regime, therefore identifying new ways of feedback between the structure and the dynamics of these systems. Our results point out the need for a conceptual transition from the physics of single-layered networks to the physics of multiplex networks. Finally, the fact that the coupling modifies the phase diagram and the critical conditions of the isolated layers suggests that interdependency can be used as a control mechanism.
authors.affiliation: Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, Zaragoza 50018, Spain.
authors.forename: Emanuele
authors.initials: E
authors.lastname: Cozzo
authors.forename: Alex
authors.initials: A
authors.lastname: Arenas
authors.forename: Yamir
authors.initials: Y
authors.lastname: Moreno
mesh_terms: D003198:Computer Simulation; D005246:Feedback; D006801:Humans; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D060756:Social Networking