Nosé-thermostated mechanical systems on the \(n\)-torus

DOI10.1007/s00205-017-1175-3zbMath1384.37075arXiv1708.09104OpenAlexW3097979451MaRDI QIDQ1702107

Leo T. Butler

Publication date: 28 February 2018

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09104

zbMATH Keywords

KAM toriinvariant manifoldNosé thermostat

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Classical equilibrium statistical mechanics (general) (82B05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items

Invariant tori for multi-dimensional integrable Hamiltonians coupled to a single thermostat

Cites Work

• Non-ergodicity of the Nosé-Hoover thermostatted harmonic oscillator
• KAM-stable Hamiltonians
• Invariant tori for the Nosé thermostat near the high-temperature limit
• Introduction to the Perturbation Theory of Hamiltonian Systems
• Non-ergodicity of Nosé–Hoover dynamics
• Partial preservation of frequencies in KAM theory

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