Pavel E. Ryabov

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Techniques for constructing non-regular grids for convection-diffusion equation problems2025
• Machine learning of a convolutional neural network based on a regularizing Bayesian approach2024
• Exploring the Efficiency of Neural Networks for Solving Dynamic Process Problems: The Fisher Equation Investigation2024
• Dynamics of generalized Lagrange top2024
• Bifurcation Diagram of the Model of a Lagrange Top with a Vibrating Suspension Point2023
• Bifurcation Analysis of the Dynamics of Two Vortices in a Bose–Einstein Condensate. The Case of Intensities of Opposite Signs2017 · аннотациясвернуть

  This paper is concerned with a system two point vortices in a Bose–Einstein condensate enclosed in a trap. The Hamiltonian form of equations of motion is presented and its Liouville integrability is shown. A bifurcation…

• Topological atlas of the Kowalevski–Sokolov top2016 · аннотациясвернуть

  We investigate the phase topology of the integrable Hamiltonian system on e(3) found by V. V. Sokolov (2001) and generalizing the Kowalevski case. This generalization contains, along with a homogeneous potential force…

• Bifurcation analysis of the motion of a cylinder and a point vortex in an ideal fluid2016 · аннотациясвернуть

  We consider an integrable Hamiltonian system describing the motion of a circular cylinder and a vortex filament in an ideal fluid. We construct bifurcation diagrams and bifurcation complexes for the case in which the…