On the reducibility of 2-dimensional linear quasi-periodic systems with small parameters

DOI10.1090/proc/13088zbMath1350.34039OpenAlexW2340806412MaRDI QIDQ2821740

Junxiang Xu, Kun Wang, Min Zhu

Publication date: 23 September 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13088

zbMATH Keywords

resonancereduciblelinear quasi-periodic system

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Multifrequency systems of ordinary differential equations (34C46)

Related Items (10)

New reducibility criteria for systems of two linear first-order ordinary differential equations ⋮ A KAM theorem for quasi-periodic non-twist mappings and its application ⋮ On the reducibility systems of two linear first-order ordinary differential equations ⋮ On the reducibility of systems of two linear first-order ordinary differential equations ⋮ A Moser’s non-twist theorem for nearly integrable mappings with self-intersection property ⋮ Effective reducibility for a class of linear almost periodic systems ⋮ On the reducibility of a class of almost periodic Hamiltonian systems ⋮ Response solutions of 3-dimensional degenerate quasi-periodic systems with small parameter ⋮ Existence of invariant curves for area-preserving mappings under weaker non-degeneracy conditions ⋮ Reducibility for a class of nonlinear quasi-periodic systems under Brjuno-Russmann's non-resonance conditions

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