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arXiv · 1602.02403

Arnold diffusion for cusp-generic nearly integrable convex systems on ${\mathbb A}^3$

Jean-Pierre Marco
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Abstract

We prove the existence of "Arnold diffusion orbits" in cusp-generic nearly integrable a priori stable systems on ${\mathbb A}^3$. 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.

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Jean-Pierre Marco. 2016-02-07. Arnold diffusion for cusp-generic nearly integrable convex systems on ${\mathbb A}^3$. https://arxiv.org/abs/1602.02403

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