Long time stability for Lagrangian tori in infinite dimensional lattice systems

2026/07/19 by Livia Corsi, Michela Procesi
#math.DS

paper · pdf

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 \citeCGP are Lagrangian and stable over subexponentially long time.

Citations

• An Abstract Birkhoff Normal Form Theorem and Exponential Type Stability of the 1d NLS
• The stability of full dimensional KAM tori for nonlinear Schrödinger equation
• On invariant tori of full dimension for 1D periodic NLS

Related

• Maximal tori in infinite-dimensional Hamiltonian systems: a Renormalization Group approach
• Dynamical stability in Lagrangian systems
• Weak KAM Theorem for a Class of Infinite-Dimensional Lagrangian systems
• Long time stability of KAM tori for nonlinear wave equation
• Generic super-exponential stability of invariant tori in Hamiltonian systems