On the reducibility of a class of nonlinear quasi-periodic system with small perturbation parameter near zero equilibrium point

DOI10.1016/J.NA.2007.08.016zbMath1151.34030OpenAlexW1989152366MaRDI QIDQ944798

Xiaocai Wang, Junxiang Xu

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.016

zbMATH Keywords

quasiperiodic solutionKAM iterationnondegeneracy conditionnonresonance condition

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Related Items (14)

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Cites Work

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• On the reducibility of linear differential equations with quasiperiodic coefficients
• Almost periodic differential equations
• On the reducibility of almost periodic systems of linear differential equations
• Persistence of invariant torus in Hamiltonian systems with two-degree of freedom
• On the reducibility of linear differential equations with quasiperiodic coefficients which are degenerate
• On Quasi-Periodic Perturbations of Elliptic Equilibrium Points

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