The elliptical invariant tori of nearly integrable Hamiltonian system through symplectic algorithms
Dynamical Systems
2024-02-23 v1
Abstract
In this paper we apply symplectic algorithms to nearly integrable Hamiltonian system, and prove it can maintain lots of elliptic lower dimensional invariant tori. We are committed to consider the elliptic lower dimensional invariant tori for symplectic mapping with a small twist under the R\"{u}ssmann's non-degenerate condition, and focus on its measure estimation. And then apply it to the nearly integrable Hamiltonian system to obtain lots of elliptic lower dimensional invariant tori.
Cite
@article{arxiv.2402.14517,
title = {The elliptical invariant tori of nearly integrable Hamiltonian system through symplectic algorithms},
author = {Zaijiu Shang and Yang Xu},
journal= {arXiv preprint arXiv:2402.14517},
year = {2024}
}