Long time stability for Lagrangian tori in infinite dimensional lattice systems

Livia Corsi; Michela Procesi

Long time stability for Lagrangian tori in infinite dimensional lattice systems

Dynamical Systems 2026-07-19 v1

Authors: Livia Corsi , Michela Procesi

Abstract

We consider a mechanical system of infinitely many rotators weakly interacting with each other and prove that the infinite dimensional invariant tori provided by \cite{CGP} are Lagrangian and stable over subexponentially long time.

Keywords

Lagrangian tori infinite dimensional lattice systems invariant tori long time stability weakly interacting rotators

Cite

@article{arxiv.2607.17254,
  title  = {Long time stability for Lagrangian tori in infinite dimensional lattice systems},
  author = {Livia Corsi and Michela Procesi},
  journal= {arXiv preprint arXiv:2607.17254},
  year   = {2026}
}