Numerical investigations of the structure around an invariant KAM torus using the frequency map analysis

DOI10.1016/0167-2789(96)00046-2zbMath0894.58017OpenAlexW2057853290MaRDI QIDQ1920992

Claude Froeschlé, Elena Lega

Publication date: 6 August 1996

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

Full work available at URL: https://doi.org/10.1016/0167-2789(96)00046-2

zbMATH Keywords

KAM theoryHamiltonian dynamical systemsfrequency map analysisgolden torus

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (6)

On the measure of the structure around the last KAM torus before and after its break-up ⋮ On the relationship between the Bruno function and the breakdown of invariant tori ⋮ Quasi-periodic motions in a special class of dynamical equations with dissipative effects: a pair of detection methods ⋮ Frequency analysis of the stability of asteroids in the framework of the restricted three-body problem ⋮ Weakly Dissipative Systems in Celestial Mechanics ⋮ Hamiltonian control of magnetic field lines: computer assisted results proving the existence of KAM barriers

Cites Work

• Universal behaviour in families of area-preserving maps
• Hamiltonian maps in the complex plane
• A renormalization approach to invariant circles in area-preserving maps
• An obstruction method for the destruction of invariant curves
• The measure of chaos by the numerical analysis of the fundamental frequencies. Applications to the standard mapping
• Critical Behavior of a KAM surface. I: Empirical results
• Superexponential stability of KAM tori.
• Greene's residue criterion
• Numerical study of quadratic area-preserving mappings
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