Generators of groups of Hamitonian maps
Dynamical Systems
2022-10-27 v1 Symplectic Geometry
Abstract
We prove that analytic Hamiltonian dynamics on tori, annuli, or Euclidean space can be approximated by a composition of nonlinear shear maps where each of the shears depends only on the position or only on the momentum.
Cite
@article{arxiv.2210.14710,
title = {Generators of groups of Hamitonian maps},
author = {Pierre Berger and Dmitry Turaev},
journal= {arXiv preprint arXiv:2210.14710},
year = {2022}
}