105 citations · 162 across the 7 of their papers we have counts for
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Circular cumulant reductions for macroscopic dynamics of oscillator populations with non-Gaussian noise
Anastasiya V. Dolmatova, Irina V. Tyulkina, Denis S. Goldobin
We employ the circular cumulant approach to construct a low dimensional description of the macroscopic dynamics of populations of phase oscillators (elements) subject to non-Gaussi…
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…
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…