An improved result for positive measure reducibility of quasi-periodic linear systems

DOI10.1007/s10114-004-0473-5zbMath1101.37016OpenAlexW2084275447MaRDI QIDQ2431892

Jiangong You, Hailong He

Publication date: 24 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0473-5

zbMATH Keywords

KAM methodreducibility problemquasi-periodic linear differential equations

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Normal forms for dynamical systems (37G05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ordinary differential equations in the complex domain (34M99) Topological dynamics of nonautonomous systems (37B55)

Related Items

Full measure reducibility for generic one-parameter family of quasi-periodic linear systems ⋮ Reducibility of slow quasi-periodic linear systems

Cites Work

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• The rotation number for almost periodic potentials
• On the reducibility of linear differential equations with quasiperiodic coefficients
• Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
• Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature
• A KAM theorem for hyperbolic-type degenerate lower dimensional tori in Hamiltonian systems
• Perturbations of lower dimensional tori for Hamiltonian systems
• Pseudo-autonomous linear systems
• On the reducibility of a class of linear differential equations with quasiperiodic coefficients