Large normally hyperbolic cylinders in a priori stable Hamiltonian systems

TL;DR

This paper proves the existence of normally hyperbolic invariant cylinders in nearly integrable Hamiltonian systems, advancing understanding of their stability and structure.

Contribution

It establishes the existence of normally hyperbolic invariant cylinders in a class of Hamiltonian systems, a significant theoretical development.

Findings

Existence of normally hyperbolic invariant cylinders proven

Results applicable to a priori stable Hamiltonian systems

Contributes to stability analysis in Hamiltonian dynamics

Abstract

We prove the existence of normally hyperbolic invariant cylinders in nearly integrable hamiltonian systems.