4 papers
Small and Finite Inertia in Stochastic Systems: Moment and Cumulant Formalisms
Denis S. Goldobin, Lyudmila S. Klimenko
We analyze two approaches to elimination of a fast variable (velocity) in stochastic systems: moment and cumulant formalisms. With these approaches, we obtain the corresponding Smo…
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…
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…