3 citations · 5 across the 4 of their papers we have counts for
4 papers
Global attractors and fast-slow reduction for finite-state actor-critic mean dynamics
Vladyslav Prytula
When a learning algorithm reshapes the data distribution it trains on, the long-run behavior depends on the joint evolution of the policy, the value estimate, and the data distribu…
Integrable order parameter dynamics of globally coupled oscillators
G. M. Pritula, V. I. Prytula, O. V. Usatenko
We study the nonlinear dynamics of globally coupled nonidentical oscillators in the framework of two order parameter (mean field and amplitude-frequency correlator) reduction. The…
Eigenvalue cut-off in the cubic-quintic nonlinear Schrodinger equation
Vladyslav Prytula, Vadym Vekslerchik, Victor M. Perez-Garcia
Using theoretical arguments, we prove the numerically well-known fact that the eigenvalues of all localized stationary solutions of the cubic-quintic 2D+1 nonlinear Schrodinger equ…
Collapse in boson-fermion mixtures with all-repulsive interactions
Vladyslav I. Prytula, Vladimir V. Konotop, Victor M. Perez-Garcia +1
We describe the collapse of the bosonic component in a boson-fermion mixture due to the pressure exerted on them by a large fermionic component, leading to collapse in a system wit…