Canonical Coordinates Defined on a Curved Poincaré Section and a Relation to Micro-Canonical Averages in Nonlinear Hamiltonian Dynamical System

DOI10.1143/JPSJ.69.3805zbMath1058.37519OpenAlexW2040576838MaRDI QIDQ2718915

Publication date: 14 May 2001

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/jpsj.69.3805

zbMATH Keywords

Floquet theory micro-canonical ensemble canonical coordinates Hamiltonian dynamical system measure-preserving mapping curved Poincaré section time-invariants

Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Foundations of time-dependent statistical mechanics (82C03) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

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