53 citations · 209 across the 8 of their papers we have counts for
8 papers
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…
Mixed mode synchronization and network bursting of neurons with post-inhibitory rebound
Roman Nagornov, Grigory Osipov, Maxim Komarov +2
This study is focused on the mechanisms of rhythmogenesis and robustness of anti-phase bursting in half-center-oscillators (HCOs) consisting of two reciprocally inhibitory coupled…
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…
The Kuramoto model of coupled oscillators with a bi-harmonic coupling function
M. Komarov, A. Pikovsky
We study synchronization in a Kuramoto model of globally coupled phase oscillators with a bi-harmonic coupling function, in the thermodynamic limit of large populations. We develop…
Synchronization transitions in globally coupled rotors in presence of noise and inertia: Exact results
Maxim Komarov, Shamik Gupta, Arkady Pikovsky
We study a generic model of globally coupled rotors that includes the effects of noise, phase shift in the coupling, and distributions of moments of inertia and natural frequencies…
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…