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Collective Phenomena Emerging from the Interactions between Dynamical Processes in Multiplex Networks

2014/05/31 by Vincenzo Nicosia, Per Sebastian Skardal, Alex Arenas +2 · 1 citation
Computer Science · Mathematics · Neuroscience · Physics and Astronomy · #Biological system #Computer science #Coupling (piping) #Coupling strength #Dynamical systems theory #Explosive material #Heterogeneous network #Materials science #Mathematics #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #Opinion Dynamics and Social Influence #Physics #Process (computing) #Quantum mechanics #Statistical physics #Synchronization (alternating current) #Topology (electrical circuits) #math.DS #nlin.AO #nlin.CD #physics.soc-ph

paper · pdf · doi:10.1103/physrevlett.118.138302

published as Phys. Rev. Lett. 118, 138302 (2017) · 6 pages, 3 figures, accepted for publication in Phys. Rev. Lett

arxiv created 2017/03/08 · openalex publication_date 2017/03/31 · arxiv updated 2017/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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