6 citations · 19 across the 8 of their papers we have counts for
4 papers · 1 filter
Dynamics of McMillan mappings III. Symmetric map with mixed nonlinearity
Tim Zolkin, Sergei Nagaitsev, Ivan Morozov +1
This article extends the study of the dynamical properties of the symmetric McMillan map, emphasizing its utility in understanding and modeling complex nonlinear systems. Although…
Dynamics of McMillan mappings II. Axially symmetric map
Tim Zolkin, Brandon Cathey, Sergei Nagaitsev
In this article, we investigate the transverse dynamics of a single particle in a model integrable accelerator lattice, based on a McMillan axially-symmetric electron lens. Althoug…
Dynamics of McMillan mappings I. McMillan multipoles
Tim Zolkin, Sergei Nagaitsev, Ivan Morozov
In this article, we consider two dynamical systems: the McMillan sextupole and octupole integrable mappings, originally proposed by Edwin McMillan. Both represent the simplest symm…
Machine-assisted discovery of integrable symplectic mappings
Timofey Zolkin, Yaroslav Kharkov, Sergei Nagaitsev
We present a new automated method for finding integrable symplectic maps of the plane. These dynamical systems possess a hidden symmetry associated with an existence of conserved q…