Nonuniform almost reducibility of nonautonomous linear differential equations

DOI10.1016/j.jmaa.2019.123822zbMath1447.34018arXiv1712.04917OpenAlexW2997040412WikidataQ126412805 ScholiaQ126412805MaRDI QIDQ2304283

Álvaro Castañeda, Ignacio Huerta

Publication date: 9 March 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04917

zbMATH Keywords

exponential dichotomynonuniform dichotomy spectrumnonuniform almost periodicity

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Linear ordinary differential equations and systems (34A30) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Nonautonomous smooth dynamical systems (37C60)

Related Items

Linearization of a nonautonomous unbounded system with nonuniform contraction: a spectral approach ⋮ Is the Sacker–Sell type spectrum equal to the contractible set? ⋮ Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonuniform dichotomy spectrum and normal forms for nonautonomous differential systems
• Smoothness of invariant manifolds for nonautonomous equations
• Hartman's linearization on nonautonomous unbounded system
• Smoothness of spectral subbundles and reducibility of quasi periodic linear differential systems
• A spectral theory for linear differential systems
• Dichotomies in stability theory
• Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems
• Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems
• Linearization of a nonautonomous unbounded system with nonuniform contraction: a spectral approach
• Criteria for exponential dichotomy for triangular systems
• Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
• Nonuniform spectrum on the half line and perturbations
• Almost reducibility of linear difference systems from a spectral point of view
• Dichotomy spectra of triangular equations
• REDUCIBILITY OF NONAUTONOMOUS LINEAR DIFFERENTIAL EQUATIONS
• A new method to prove the nonuniform dichotomy spectrum theorem in ℝⁿ
• NONUNIFORM DICHOTOMY SPECTRUM INTERVALS: THEOREM AND COMPUTATION
• Dichotomy spectrum for nonautonomous differential equations