Reducible problem for a class of almost-periodic non-linear Hamiltonian systems

DOI10.1186/s13660-018-1787-7zbMath1498.37096OpenAlexW2883408220WikidataQ92159763 ScholiaQ92159763MaRDI QIDQ824708

N. E. Zubov

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1787-7

zbMATH Keywords

reducibilityHamiltonian systemsKAM iterationsmall divisorsalmost-periodic matrix

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Cites Work

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• Smoothness of spectral subbundles and reducibility of quasi periodic linear differential systems
• On the reducibility of linear differential equations with quasiperiodic coefficients
• On the reducibility of almost periodic systems of linear differential equations
• On the reducibility of a class of quasi-periodic Hamiltonian systems with small perturbation parameter near the equilibrium
• Reducibility for a class of almost-periodic differential equations with degenerate equilibrium point under small almost-periodic perturbations
• On Quasi-Periodic Perturbations of Elliptic Equilibrium Points
• On the reducibility of a class of linear differential equations with quasiperiodic coefficients

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