On reducibility for a class of \(n\)-dimensional quasi-periodic systems with a small parameter

DOI10.1016/j.amc.2015.04.108zbMath1410.34110OpenAlexW258685357MaRDI QIDQ1659653

Xuezhu Lu, Yuedong Kong, Yanling Shi

Publication date: 22 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.108

zbMATH Keywords

KAM theoryReducibilityNon-degeneracy conditionQuasi-periodic perturbation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Singular perturbations for ordinary differential equations (34E15)

Related Items (1)

Reducibility of a class of 2k-dimensional Hamiltonian systems with quasi-periodic coefficients

Cites Work

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• On the reducibility of linear differential equations with quasiperiodic coefficients which are degenerate
• On Quasi-Periodic Perturbations of Elliptic Equilibrium Points
• A nonperturbative Eliasson's reducibility theorem

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