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

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.

Cited by in corpus (2)

• Invariant manifolds and the parameterization method in coupled energy harvesting piezoelectric oscillators
• Arnold Diffusion, Quantitative Estimates and Stochastic Behavior in the Three-Body Problem