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math.DS2024
The elliptical invariant tori of nearly integrable Hamiltonian system through symplectic algorithms
Zaijiu Shang, Yang Xu
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…
math.DS2024
A KAM theorem of symplectic algorithms for nearly integrabel Hamiltonian systems
Zaijiu Shang, Yang Xu
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…