90 citations · 289 across the 32 of their papers we have counts for
5 papers · 1 filter
Polynomial Neural Networks and Taylor maps for Dynamical Systems Simulation and Learning
Andrei Ivanov, Anna Golovkina, Uwe Iben
The connection of Taylor maps and polynomial neural networks (PNN) to solve ordinary differential equations (ODEs) numerically is considered. Having the system of ODEs, it is possi…
Vibronic coupling induced by fast Rabi oscillations for kinetic energy control in free atom
Andrei Ivanov, Evgeniy Perlin
Vibronic coupling effects usually manifest themselves in molecules and crystals rather than in an unbound atoms. We theoretically demonstrate the existence of vibronic states in a…
Matrix Lie Maps and Neural Networks for Solving Differential Equations
Andrei Ivanov, Sergei Andrianov
The coincidence between polynomial neural networks and matrix Lie maps is discussed in the article. The matrix form of Lie transform is an approximation of the general solution of…
Probing of violation of Lorentz invariance by ultracold neutrons in the Standard Model Extension
A. N. Ivanov, M. Wellenzohn, H. Abele
We analyze a dynamics of ultracold neutrons (UCNs) caused by interactions violating Lorentz invariance within the Standard Model Extension (SME) (Colladay and Kostelecky, Phys. Rev…
Precision analysis of pseudoscalar interactions in neutron beta decays
A. N. Ivanov, R. Höllwieser, N. I. Troitskaya +2
We analyze the contributions of the one-pion-pole (OPP) exchange, caused by strong low-energy interactions, and the pseudoscalar interaction beyond the Standard Model (BSM) to the…