Invariant tori through direct solution of the Hamilton-Jacobi equation

DOI10.1016/0167-2789(87)90213-2zbMath0612.58017OpenAlexW1972416632MaRDI QIDQ1088223

Ronald D. Ruth, Robert Lee Warnock

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/1447885

zbMATH Keywords

Hamilton-Jacobi equationnon-integrable Hamiltonian systemsKAM-theory

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (4)

Stability of particle orbits ⋮ Long-term bounds on nonlinear Hamiltonian motion ⋮ Computation of magnetic coordinates and action-angle variables ⋮ A numerical perturbation method based on the KAM construction

Cites Work

• Hamiltonian maps in the complex plane
• FFT algorithms for vector computers
• Maxwell equations in nonuniformly moving media
• Regular and stochastic motion
• Galerkin's procedure for nonlinear periodic systems
• An extension of the Newton-Kantorovic method for solving nonlinear equations with an application to elasticity
• Widely Convergent Method for Finding Multiple Solutions of Simultaneous Nonlinear Equations
• Integrability of hamiltonian systems on cantor sets
• On Solving Nonlinear Equations with Simple Singularities or Nearly Singular Solutions
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