A KAM theorem of symplectic algorithms for nearly integrabel Hamiltonian systems
Dynamical Systems
2024-02-23 v1
Abstract
In this paper we prove a KAM-like theorem of symplectic algorithms for nearly integrable Hamiltonian systems which generalises the result of \cite{r1} and \cite{r6} for the case of integrable systems.
Cite
@article{arxiv.2402.14478,
title = {A KAM theorem of symplectic algorithms for nearly integrabel Hamiltonian systems},
author = {Zaijiu Shang and Yang Xu},
journal= {arXiv preprint arXiv:2402.14478},
year = {2024}
}