Emergent multistability and frustration in phase-repulsive networks of oscillators

Details Emergent multistability and frustration in phase-repulsive networks of oscillators Emergent multistability and frustration in phase-repulsive networks of oscillators

2011-04-04

arxiv.org/abs/1104.0591v2

Physics

Condensed Matter

Statistical Mechanics

Submitted to Physical Review E

Scientific paper

We study the collective dynamics of oscillator networks with phase-repulsive coupling, considering various network sizes and topologies. The notion of link frustration is introduced to characterize and quantify the network dynamical states. In opposition to widely studied phase-attractive case, the properties of final dynamical states in our model critically depend on the network topology. In particular, each network's total frustration value is intimately related to its topology. Moreover, phase-repulsive networks in general display multiple final frustration states, whose statistical and stability properties are uniquely identifying them.

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