Strongly topological linearization with generalized exponential dichotomy

DOI10.1016/J.NA.2006.06.054zbMath1122.34315OpenAlexW2040672239MaRDI QIDQ884494

Liangping Jiang

Publication date: 6 June 2007

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.2006.06.054

zbMATH Keywords

generalized exponential dichotomyequivalent functiontopologically equivalent

Mathematics Subject Classification ID

Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (13)

General exponential dichotomies on time scales and parameter dependence of roughness ⋮ Linearization in the large of nonlinear systems and Koopman operator spectrum ⋮ Linearization of a nonautonomous unbounded system with hyperbolic linear part: a spectral approach ⋮ Linearization of a nonautonomous unbounded system with nonuniform contraction: a spectral approach ⋮ A topological equivalence result for a family of nonlinear difference systems having generalized exponential dichotomy ⋮ Is the Sacker–Sell type spectrum equal to the contractible set? ⋮ A CHARACTERIZATION OF GENERALIZED EXPONENTIAL DICHOTOMY ⋮ Generalized evolution semigroups and general dichotomies ⋮ On the topological classification of dynamic equations on time scales ⋮ Boundness and linearisation of a class of differential equations with piecewise constant argument ⋮ Hölder regularity of Grobman-Hartman theorem for dynamic equations on measure chains ⋮ Ordinary dichotomy and global linearization ⋮ New results on linearization of differential equations with piecewise constant argument

Cites Work

• Improvement of Hartman's linearization theorem
• Generalized exponential dichotomy and global linearization
• Dichotomies in stability theory
• On Hartman's linearization theorem and Palmer's linearization theorem
• A generalization of Hartman's linearization theorem
• Conditional stability and separation of solutions to differential equations
• Global topological linearization in critical case

This page was built for publication: Strongly topological linearization with generalized exponential dichotomy