Generalized exponential dichotomy and global linearization

DOI10.1016/J.JMAA.2005.05.042zbMath1098.34042OpenAlexW2016314509MaRDI QIDQ819660

Liangping Jiang

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.05.042

zbMATH Keywords

topological equivalencegeneralized exponential dichotomy

Mathematics Subject Classification ID

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

Related Items (23)

Generalized exponential behavior and topological equivalence ⋮ Does nonuniform behavior destroy the structural stability? ⋮ General exponential dichotomies on time scales and parameter dependence of roughness ⋮ A generalized Grobman-Hartman theorem for nonautonomous dynamics ⋮ Strongly topological linearization with generalized exponential dichotomy ⋮ On the linearization theorem for nonautonomous differential equations ⋮ Multiscale linearization of nonautonomous systems ⋮ Linearization of a nonautonomous unbounded system with hyperbolic linear part: a spectral approach ⋮ Nonuniform contractions and converse stability results via a smooth topological equivalence ⋮ 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? ⋮ Smooth linearization of nonautonomous coupled systems ⋮ A CHARACTERIZATION OF GENERALIZED EXPONENTIAL DICHOTOMY ⋮ Generalized evolution semigroups and general dichotomies ⋮ Generalized exponential trichotomies for abstract evolution operators on the real line ⋮ Remarks on generalized stability for difference equations in Banach spaces ⋮ 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 ⋮ Differentiability of Palmer's linearization theorem and converse result for density functions ⋮ Linearization and Hölder continuity for nonautonomous systems ⋮ Ordinary dichotomy and global linearization ⋮ Smoothness of topological equivalence on the half line for nonautonomous systems ⋮ New results on linearization of differential equations with piecewise constant argument

Cites Work

• On Hartman's linearization theorem and Palmer's linearization theorem
• A generalization of Hartman's linearization theorem

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