New cases of quasiperiodic motions in reversible systems

DOI10.1063/1.165993zbMath1055.37520OpenAlexW1994091522WikidataQ52397545 ScholiaQ52397545MaRDI QIDQ4526274

Mikhail B. Sevryuk

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/10.1063/1.165993

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) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

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Cites Work

• Invariant m-dimensional tori of reversible systems with phase space of dimension greater than 2m
• Bifurcation of quasi-periodic solutions from equilibrium points of reversible dynamical systems
• Integrability of hamiltonian systems on cantor sets
• Normalization of a Hamiltonian system near an invariant cycle or torus
• On invariant tori of reversible systems in the neighbourhood of an equilibrium position
• The normal form of a Hamiltonian system
• Lower-dimensional tori in reversible systems