105 citations · 175 across the 12 of their papers we have counts for
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Kinetic description of one-dimensional stochastic dynamics with small inertia
Denis S. Goldobin, Lyudmila S. Klimenko, Irina V. Tyulkina +2
We study single-variable approaches for describing stochastic dynamics with small inertia. The basic models we deal with describe passive Brownian particles and phase elements (pha…
Deterministic dynamics of overactive Brownian particle in 2D and 3D potential wells
Denis S. Goldobin, Lev A. Smirnov, Lyudmila S. Klimenko +1
We study deterministic dynamics of overactive Brownian particles in 2D and 3D potentials. This dynamics is Hamiltonian. Integrals of motion for continuous rotational symmetries are…
Special flow model for passive particle transport considering internal noise
Boris S. Maryshev, Lyudmila S. Klimenko
We have generalized the semi-analytic approach of special flow to the description of flows of passive particles taking into account internal noise. The model is represented by a se…
Macroscopic behavior of populations of quadratic integrate-and-fire neurons subject to non-Gaussian white noise
Denis S. Goldobin, Evelina V. Permyakova, Lyudmila S. Klimenko
We study macroscopic behavior of populations of quadratic integrate-and-fire neurons subject to non-Gaussian noises; we argue that these noises must be alpha-stable whenever they a…
Four approaches for description of stochastic systems with small and finite inertia
Evelina V. Permyakova, Lyudmila S. Klimenko, Irina V. Tyulkina +1
We analyse four approaches to elimination of a fast variable, which are applicable to systems like passive Brownian particles: (i) moment formalism, (ii) corresponding cumulant for…
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…