KAM theorems for the product of two involutions of different types

DOI10.1063/1.165935zbMath1055.37575OpenAlexW1982083538WikidataQ52389393 ScholiaQ52389393MaRDI QIDQ4526291

Mikhail B. Sevryuk, Gilles Reinout Willem Quispel

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.165935

Mathematics Subject Classification ID

Hamilton's equations (70H05) 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)

Related Items

The iteration-approximation decoupling in the reversible KAM theory, Non-algebraic integrability of the Chew-Low reversible dynamical system of the Cremona type and the relation with the 7th Hilbert problem (non-resonant case), Unfoldings of quasi-periodic tori in reversible systems, Normal linear stability of quasi-periodic tori, Partial preservation of frequencies and Floquet exponents of invariant tori in the reversible KAM context 2, Hamiltonian and reversible systems with smooth families of invariant tori, Algebraic-geometry approach to integrability of birational plane mappings. Integrable birational quadratic reversible mappings. I, The reversible context 2 in KAM theory: the first steps, Quasi-periodic perturbations within the reversible context 2 in KAM theory, The Lagrangian stability for a class of second-order quasi-periodic reversible systems, KAM-stable Hamiltonians, The finite-dimensional reversible KAM theory, Existence of invariant tori for certain weakly reversible mappings

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