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Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplexes

Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplexes

Collective behavior in large ensembles of dynamical units with nonpairwise interactions may play an important role in several systems ranging from brain function to social networks. Despite recent work pointing to simplicial structure, i.e., higher-order interactions between three or more units at a time, their dynamical characteristics remain poorly understood. …