A \(C^\infty\) Nekhoroshev theorem

DOI10.3934/mine.2021019zbMath1503.37070arXiv2002.06985OpenAlexW3042961132MaRDI QIDQ2167456

Beatrice Langella, Dario Bambusi

Publication date: 25 August 2022

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.06985

zbMATH Keywords

perturbation theorynormal formHamiltonian systemsNekhoroshev's theoremquasi-integrable systems

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (3)

Exponential and sub-exponential stability times for the derivative wave equation ⋮ Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori ⋮ Analytic smoothing and Nekhoroshev estimates for Hölder steep Hamiltonians

Cites Work

• Unnamed Item
• The steep Nekhoroshev's theorem
• Generic Nekhoroshev theory without small divisors
• Nekhoroshev estimates for finitely differentiable quasi-convex Hamiltonians
• Effective stability for Gevrey and finitely differentiable prevalent Hamiltonians
• Stability of motions near resonances in quasi-integrable Hamiltonian systems
• Exponential stability for time dependent potentials
• Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems
• Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations
• Nekhoroshev estimates for quasi-convex Hamiltonian systems
• Stability and instability for Gevrey quasi-convex near-integrable Hamiltonian systems
• Asymptotic Localization of Energy in Nondisordered Oscillator Chains
• Hamiltonian perturbation theory for ultra-differentiable functions
• A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• Complex analysis and convolution operators
• Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian
• Exponential stability for small perturbations of steep integrable Hamiltonian systems
• On the spectrum of the Schrödinger operator on 𝕋^d: a normal form approach
• A large probability averaging theorem for the defocusing NLS
• Wandering domains and random walks in Gevrey near-integrable systems
• Prevalence of exponential stability among nearly integrable Hamiltonian systems

This page was built for publication: A \(C^\infty\) Nekhoroshev theorem