33 citations · 96 across the 7 of their papers we have counts for
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cond-mat.stat-mech2019★ 7 cited
Circular Cumulant Reductions for Macroscopic Dynamics of Kuramoto Ensemble with Multiplicative Intrinsic Noise
Denis S. Goldobin, Anastasiya V. Dolmatova
We demonstrate the application of the circular cumulant approach for thermodynamically large populations of phase elements, where the Ott-Antonsen properties are violated by a mult…
cond-mat.stat-mech2019★ 27 cited
Ott-Antonsen ansatz is the only admissible truncation of a circular cumulant series
Denis S. Goldobin, Anastasiya V. Dolmatova
The cumulant representation is common in classical statistical physics for variables on the real line and the issue of closures of cumulant expansions is well elaborated. The case…