Persistence of regular motions for nearly integrable Hamiltonian systems in the thermodynamic limit

DOI10.1134/S156035471606006XzbMath1373.37187OpenAlexW2566598671MaRDI QIDQ2361635

Andrea Carati, Roberto Gangemi, Fabrizio Gangemi, Luigi Galgani, Alberto Mario Maiocchi

Publication date: 30 June 2017

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s156035471606006x

zbMATH Keywords

perturbation theorythermodynamic limitoptical properties of matter

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical aspects of statistical mechanics (37A60) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (3)

Persistence of regular motions for nearly integrable Hamiltonian systems in the thermodynamic limit ⋮ The FPU problem as a statistical-mechanical counterpart of the KAM problem, and its relevance for the foundations of physics ⋮ A rigorous theory of many-body prethermalization for periodically driven and closed quantum systems

Cites Work

• Exponentially long stability times for a nonlinear lattice in the thermodynamic limit
• An averaging theorem for FPU in the thermodynamic limit
• An extensive adiabatic invariant for the Klein-Gordon model in the thermodynamic limit
• Persistence of regular motions for nearly integrable Hamiltonian systems in the thermodynamic limit
• An averaging theorem for Hamiltonian dynamical systems in the thermodynamic limit
• Asymptotic Localization of Energy in Nondisordered Oscillator Chains
• 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
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