On Quasi-Periodic Parametric Perturbations of Hamiltonian Systems

DOI10.20537/nd200210zbMath1466.34042OpenAlexW3037928514MaRDI QIDQ3304728

Kirill Morozov, Albert D. Morozov

Publication date: 3 August 2020

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd716

zbMATH Keywords

limit cyclesresonancesHamiltonian systemequilibrium statesaveraging methodquasi-periodicparametricinvariant torusphase curves

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Invariant manifolds for ordinary differential equations (34C45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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