Reducibility for a class of almost-periodic differential equations with degenerate equilibrium point under small almost-periodic perturbations

DOI10.1155/2013/386812zbMath1295.34051OpenAlexW2086569424WikidataQ58916129 ScholiaQ58916129MaRDI QIDQ2015443

Wenhua Qiu, Jian-guo Si

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/386812

zbMATH Keywords

normal formKAM method

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations of ordinary differential equations (34D10) Multifrequency systems of ordinary differential equations (34C46)

Related Items (2)

Reducible problem for a class of almost-periodic non-linear Hamiltonian systems ⋮ Reducibility for a class of two dimensional almost periodic system with quintic real polynomial

Cites Work

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• Small divisors with spatial structure in infinite dimensional Hamiltonian systems
• On the reducibility of linear differential equations with quasiperiodic coefficients
• Almost periodic differential equations
• Convergent series expansions for quasi-periodic motions
• Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation
• On Quasi-Periodic Perturbations of Elliptic Equilibrium Points

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