105 citations · 162 across the 7 of their papers we have counts for
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cond-mat.stat-mech2019★ 3 cited
Collective in-plane magnetization in a 2D XY macrospin system within the framework of generalized Ott-Antonsen theory
Irina V. Tyulkina, Denis S. Goldobin, Lyudmila S. Klimenko +2
The problem of magnetic transitions between the low-temperature (macrospin ordered) phases in 2D XY arrays is addressed. The system is modeled as a plane structure of identical sin…
cond-mat.stat-mech2019★ 1 cited
Stabilization of direct numerical simulation for finite truncations of circular cumulant expansions
Irina V. Tyulkina, Denis S. Goldobin, Arkady Pikovsky
We study a numerical instability of direct simulations with truncated equation chains for the "circular cumulant" representation and two approaches to its suppression. The approach…