Exceptional sets in Kolmogorov-Arnol'd-Moser theory

DOI10.1088/0305-4470/19/3/018zbMath0605.34041OpenAlexW1973003570MaRDI QIDQ3743647

J. A. G. Vickers, Maurice M. Dodson

Publication date: 1986

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/19/3/018

zbMATH Keywords

Hausdorff dimensionKAM theorytime-periodic Hamiltonians

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Qualitative theory for ordinary differential equations (34C99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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