Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion
Dynamical Systems
2017-06-28 v1
Abstract
We improve the global Nekhoroshev stability for analytic quasi-convex nearly integrable Hamiltonian systems. The new stability result is optimal, as it matches the fastest speed of Arnold diffusion.
Keywords
Cite
@article{arxiv.1701.06026,
title = {Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion},
author = {Jianlu Zhang and Ke Zhang},
journal= {arXiv preprint arXiv:1701.06026},
year = {2017}
}
Comments
quasi convex Hamiltonian, Nekhoroshev estimate, Arnold diffusion