Invariant tori for the Nosé thermostat near the high-temperature limit

DOI10.1088/0951-7715/29/11/3454zbMath1352.37160arXiv1702.02238OpenAlexW2521937322MaRDI QIDQ2834297

Leo T. Butler

Publication date: 28 November 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02238

zbMATH Keywords

KAM theoryNosé-Hoover thermostatHamiltonian mechanicsthermostats

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical aspects of statistical mechanics (37A60) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (3)

Invariant tori for multi-dimensional integrable Hamiltonians coupled to a single thermostat ⋮ Nosé-thermostated mechanical systems on the \(n\)-torus ⋮ The existence of invariant tori and quasiperiodic solutions of the Nosé-Hoover oscillator

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