Non-ergodicity of Nosé–Hoover dynamics

DOI10.1088/0951-7715/22/7/011zbMath1173.37066arXiv0812.3320OpenAlexW2039955557MaRDI QIDQ3637455

Frédéric Legoll, Richard Moeckel, Mitchell Luskin

Publication date: 10 July 2009

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3320

zbMATH Keywords

Hamiltonian systemsnon-ergodicityNosé-Hoover dynamics

Mathematics Subject Classification ID

Related Items (13)

Conservative Chaos in a Class of Nonconservative Systems: Theoretical Analysis and Numerical Demonstrations ⋮ Invariant tori for multi-dimensional integrable Hamiltonians coupled to a single thermostat ⋮ Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems ⋮ Comparing the efficiencies of stochastic isothermal molecular dynamics methods ⋮ Nosé-thermostated mechanical systems on the \(n\)-torus ⋮ The existence of invariant tori and quasiperiodic solutions of the Nosé-Hoover oscillator ⋮ Invariant tori for a class of singly thermostated Hamiltonians ⋮ The Langevin limit of the Nosé-Hoover-Langevin thermostat ⋮ Integrability of the Nosé-Hoover equation ⋮ Adaptive Thermostats for Noisy Gradient Systems ⋮ Longitudinal stiffness and thermal conductivity of twisted carbon nanoribbons ⋮ Horseshoes for Singly Thermostated Hamiltonians ⋮ Bifurcation and chaos in a smooth 3D dynamical system extended from Nosé-Hoover oscillator

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