Synchronization in networks with multiple interaction layers.

ABSTRACT: The structure of many real-world systems is best captured by networks consisting of several interaction layers. Understanding how a multilayered structure of connections affects the synchronization properties of dynamical systems evolving on top of it is a highly relevant endeavor in mathematics and physics and has potential applications in several socially relevant topics, such as power grid engineering and neural dynamics. We propose a general framework to assess the stability of the synchronized state in networks with multiple interaction layers, deriving a necessary condition that generalizes the master stability function approach. We validate our method by applying it to a network of Rössler oscillators with a double layer of interactions and show that highly rich phenomenology emerge

SUBMITTER: Del Genio CI 

PROVIDER: S-EPMC5262445 | biostudies-literature | 2016 Nov

REPOSITORIES: biostudies-literature