Hartman's linearization on nonautonomous unbounded system

DOI10.1016/j.na.2005.11.007zbMath1115.34041OpenAlexW2063793932MaRDI QIDQ860717

Faxing Lin

Publication date: 9 January 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.2005.11.007

Mathematics Subject Classification ID

Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (13)

A generalized Grobman-Hartman theorem for nonautonomous dynamics ⋮ Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems ⋮ Almost reducibility of linear difference systems from a spectral point of view ⋮ Does symmetry of the operator of a dynamical system help stability? ⋮ Multiscale linearization of nonautonomous systems ⋮ 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 ⋮ Smooth linearization of nonautonomous coupled systems ⋮ Boundness and linearisation of a class of differential equations with piecewise constant argument ⋮ Linearization and Hölder continuity for nonautonomous systems ⋮ New results on linearization of differential equations with piecewise constant argument ⋮ Nonuniform almost reducibility of nonautonomous linear differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• A characterization of exponential dichotomy in terms of topological equivalence
• A spectral theory for linear differential systems
• The structurally stable linear systems on the half-line are those with exponential dichotomies
• On the Local Linearization of Differential Equations

This page was built for publication: Hartman's linearization on nonautonomous unbounded system