10 citations · 40 across the 19 of their papers we have counts for
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Dynamics of a few vortices in an ideal fluid and in a Bose-Einstein condensate
Pavel E. Ryabov, Sergei V. Sokolov, Gleb P. Palshin
Completely Liouville integrable Hamiltonian system with two degrees of freedom is considered. This Hamiltonian system describes the dynamics of two vortex filaments in a Bose-Einst…
Bifurcation Diagram of One Generalized Integrable Model of Vortex Dynamics
Pavel E. Ryabov, Artemiy A. Shadrin
The article is devoted to the results of a phase topology research on a generalized mathematical model, which covers such two problems as dynamics of two point vortices enclosed in…
Phase Topology of Two Vortices of the Identical Intensities in Bose-Einstein Condensate
Pavel E. Ryabov, Sergei V. Sokolov
Completely Liouville integrable Hamiltonian system with two degrees of freedom, describing the dynamics of two vortex filaments in a Bose-Einstein condensate enclosed in a cylindri…
On one unstable bifurcation in the dynamics of vortex structure
Pavel E. Ryabov
In this paper we consider a completely Liouville integrable Hamiltonian system with two degrees of freedom, which describes the dynamics of two vortex filaments in a Bose-Einstein…
Bifurcation diagram of one perturbed vortex dynamics problem
Pavel E. Ryabov
This paper deals with the one perturbed vortex dynamics problem which describes the system of two point vortices in a Bose-Einstein condensate enclosed in a cylindrical trap. This…
Explicit determination of certain periodic motions of a generalized two-field gyrostat
Pavel Ryabov, Sergei Sokolov, Irina Kharlamova
The case of motion of a generalized two-field gyrostat found by V.V.Sokolov and A.V.Tsiganov is known as a Liouville integrable Hamiltonian system with three degrees of freedom. We…