Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies
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Publication:4990639
DOI10.1017/etds.2020.23zbMath1469.37048OpenAlexW3011541721WikidataQ114119240 ScholiaQ114119240MaRDI QIDQ4990639
Publication date: 31 May 2021
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/etds.2020.23
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 (7)
On the reducibility of two-dimensional quasi-periodic systems with Liouvillean basic frequencies and without non-degeneracy condition ⋮ Persistence of multiscale degenerate invariant tori for reversible systems with multiscale degenerate equilibrium points ⋮ The persistence of degenerate lower-dimensional tori in reversible systems with a degenerate normal equilibrium point ⋮ Existence of invariant curves with prescribed frequency for degenerate area preserving mappings ⋮ On the persistence of lower-dimensional tori in reversible systems with hyperbolic-type degenerate equilibrium point under small perturbations ⋮ On the persistence of lower-dimensional tori in reversible systems with high dimensional degenerate equilibrium under small perturbations ⋮ Reducibility for a class of nonlinear quasi-periodic systems under Brjuno-Russmann's non-resonance conditions
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