Arnold diffusion for cusp-generic nearly integrable convex systems on ${\mathbb A}^3$
Dynamical Systems
2016-02-09 v1
Abstract
We prove the existence of "Arnold diffusion orbits" in cusp-generic nearly integrable a priori stable systems on . The result relies on the cusp-generic existence of chains in nearly integrable a priori stable systems, proved in a previous paper, together with the existence of diffusion orbits along such chains. The latter result was obtained in collaboration with M. Gidea.
Cite
@article{arxiv.1602.02403,
title = {Arnold diffusion for cusp-generic nearly integrable convex systems on ${\mathbb A}^3$},
author = {Jean-Pierre Marco},
journal= {arXiv preprint arXiv:1602.02403},
year = {2016}
}