Document Type

Article

Department

​Mathematics

Publication Date

2017

Abstract

We introduce a framework to intertwine dynamical processes of different nature, each with its own distinct network topology, using a multilayer network approach. As an example of collective phenomena emerging from the interactions of multiple dynamical processes, we study a model where neural dynamics and nutrient transport are bidirectionally coupled in such a way that the allocation of the transport process at one layer depends on the degree of synchronization at the other layer, and vice versa. We show numerically, and we prove analytically, that the multilayer coupling induces a spontaneous explosive synchronization and a heterogeneous distribution of allocations, otherwise not present in the two systems considered separately. Our framework can find application to other cases where two or more dynamical processes such as synchronization, opinion formation, information diffusion, or disease spreading, are interacting with each other.

Comments

Provided by Trinity College Digital Repository in accordance with the publisher's distribution policies. Published as:

Vincenzo Nicosia, Per Sebastian Skardal, Alex Arenas, and Vito Latora. “Collective Phenomena Emerging from the Interactions Between Dynamical Processes in Multiplex Networks.” Physical Review Letters 118, 138302 (2017).

Publication Title

Physical Review Letters

Volume

118

DOI

10.1103/PhysRevLett.118.138302

Share

COinS