10 citations · 40 across the 19 of their papers we have counts for
22 papers
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…
On bifurcation of the four Liouville tori in one generalized integrable model of the vortex dynamics
Pavel E. Ryabov
The article deals with a generalized mathematical model of the dynamics of two point vortices in the Bose-Einstein condensate enclosed in a harmonic trap, and of the dynamics of tw…
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…