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cond-mat.stat-mech2022★ 15 cited
Exact finite-dimensional reduction for a population of noisy oscillators and its link to Ott-Antonsen and Watanabe-Strogatz theories
Rok Cestnik, Arkady Pikovsky
Populations of globally coupled phase oscillators are described in the thermodynamic limit by kinetic equations for the distribution densities, or equivalently, by infinite hierarc…
cond-mat.stat-mech2021★ 22 cited
Hierarchy of exact low-dimensional reductions for populations of coupled oscillators
Rok Cestnik, Arkady Pikovsky
We consider an ensemble of phase oscillators in the thermodynamic limit, where it is described by a kinetic equation for the phase distribution density. We propose an ansatz for th…