Ergodic time-reversible chaos for Gibbs' canonical oscillator

DOI10.1016/j.physleta.2015.08.034zbMath1349.37003arXiv1503.06749OpenAlexW2963549729MaRDI QIDQ341422

Julien Clinton Sprott, Puneet Kumar Patra, William G. Hoover

Publication date: 16 November 2016

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06749

zbMATH Keywords

algorithmschaosdynamical systemsergodicity

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (9)

The Equivalence of Dissipation from Gibbs’ Entropy Production with Phase-Volume Loss in Ergodic Heat-Conducting Oscillators ⋮ On a 3-D generalized Hamiltonian model with conservative and dissipative chaotic flows ⋮ A multiscale method for simulating fluid interfaces covered with large molecules such as asphaltenes ⋮ Invariant tori for multi-dimensional integrable Hamiltonians coupled to a single thermostat ⋮ Cumulant analysis of the statistical properties of a deterministically thermostated harmonic oscillator ⋮ A Tribute to J. C. Sprott ⋮ Casimir force and its effects on pull-in instability modelled using molecular dynamics simulations ⋮ Thermodynamic vs statistical entropy production in thermostatted Hamiltonian dynamics ⋮ Bifurcation and chaos in a smooth 3D dynamical system extended from Nosé-Hoover oscillator

Cites Work

• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Canonical ensembles from chaos. II: Constrained dynamical systems
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems

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