105 citations · 175 across the 12 of their papers we have counts for
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nlin.AO2018★ 46 cited
Collective mode reductions for populations of coupled noisy oscillators
Denis S. Goldobin, Irina V. Tyulkina, Lyudmila S. Klimenko +1
We analyze accuracy of different low-dimensional reductions of the collective dynamics in large populations of coupled phase oscillators with intrinsic noise. Three approximations…
nlin.AO2018★ 105 cited
Dynamics of noisy oscillator populations beyond the Ott-Antonsen ansatz
Irina V. Tyulkina, Denis S. Goldobin, Lyudmila S. Klimenko +1
We develop an approach for the description of the dynamics of large populations of phase oscillators based on "circular cumulants" instead of the Kuramoto-Daido order parameters. I…