53 citations · 209 across the 8 of their papers we have counts for
5 papers · 1 filter
Finite-size-induced transitions to synchrony in oscillator ensembles with nonlinear global coupling
Maxim Komarov, Arkady Pikovsky
We report on finite-sized-induced transitions to synchrony in a population of phase oscillators coupled via a nonlinear mean field, which microscopically is equivalent to a hyperne…
Inter-community resonances in multifrequency ensembles of coupled oscillators
Maxim Komarov, Arkady Pikovsky
We generalize the Kuramoto model of globally coupled oscillators to multifrequency communities. A situation when mean frequencies of two subpopulations are close to resonance 2:1 i…
Synchronization transitions in ensembles of noisy oscillators with bi-harmonic coupling
Vladimir Vlasov, Maxim Komarov, Arkady Pikovsky
We describe synchronization transitions in an ensemble of globally coupled phase oscillators with a bi-harmonic coupling function, and two sources of disorder - diversity of intrin…
Dynamics of multifrequency oscillator communities
Maxim Komarov, Arkady Pikovsky
We consider a generalization of the Kuramoto model of coupled oscillators to the situation where communities of oscillators having essentially different natural frequencies interac…
Effects of non-resonant interaction in ensembles of phase oscillators
Maxim Komarov, Arkady Pikovsky
We consider general properties of groups of interacting oscillators, for which the natural frequencies are not in resonance. Such groups interact via non-oscillating collective var…