The multi-scale KAM persistence without a scaling order for Hamiltonian systems
Dynamical Systems
2025-05-09 v1
Abstract
The persistence of invariant tori in multi-scale Hamiltonian systems is intrinsically linked to the stability of the N-body problem. However, the existing non-degeneracy conditions in disordered scenarios have been formulated too generally, making them difficult to apply directly to celestial mechanics. In this work, we present a readily verifiable non-degeneracy condition for the persistence of invariant tori in disordered multi-scale Hamiltonian systems.
Keywords
Cite
@article{arxiv.2505.05369,
title = {The multi-scale KAM persistence without a scaling order for Hamiltonian systems},
author = {Weichao Qian and Yong Li and Xue Yang},
journal= {arXiv preprint arXiv:2505.05369},
year = {2025}
}