Stability of synchronization in simplicial complexes.

ABSTRACT: Various systems in physics, biology, social sciences and engineering have been successfully modeled as networks of coupled dynamical systems, where the links describe pairwise interactions. This is, however, too strong a limitation, as recent studies have revealed that higher-order many-body interactions are present in social groups, ecosystems and in the human brain, and they actually affect the emergent dynamics of all these systems. Here, we introduce a general framework to study coupled dynamical systems accounting for the precise microscopic structure of their interactions at any possible order. We show that complete synchronization exists as an invariant solution, and give the necessary condition for it to be observed as a stable state. Moreover, in some relevant instances, such a ne

SUBMITTER: Gambuzza LV 

PROVIDER: S-EPMC7902853 | biostudies-literature | 2021 Feb

REPOSITORIES: biostudies-literature