131 citations · 213 across the 4 of their papers we have counts for
4 papers
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…
Lie Transform--based Neural Networks for Dynamics Simulation and Learning
Andrei Ivanov, Alena Sholokhova, Sergei Andrianov +1
In the article, we discuss the architecture of the polynomial neural network that corresponds to the matrix representation of Lie transform. The matrix form of Lie transform is an…
New method for a continuous determination of the spin tune in storage rings and implications for precision experiments
D. Eversmann, V. Hejny, F. Hinder +98
A new method to determine the spin tune is described and tested. In an ideal planar magnetic ring, the spin tune - defined as the number of spin precessions per turn - is given by…
A Storage Ring Experiment to Detect a Proton Electric Dipole Moment
V. Anastassopoulos, S. Andrianov, R. Baartman +88
A new experiment is described to detect a permanent electric dipole moment of the proton with a sensitivity of cm by using polarized "magic" momentum ~GeV/c pr…