Differentiability of Palmer's linearization theorem and converse result for density functions

DOI10.1016/j.jde.2015.06.004zbMath1339.34050arXiv1406.5492OpenAlexW1541700568MaRDI QIDQ2517347

Álvaro Castañeda, Gonzalo Robledo

Publication date: 18 August 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5492

zbMATH Keywords

Hartman-Grobman theoremdensity functionsPalmer's linearization theorempreserving orientation diffeomorphism

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (15)

Divergent stability conditions of dynamic systems ⋮ A generalized Grobman-Hartman theorem for nonautonomous dynamics ⋮ Proportional Local Assignability of the Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems ⋮ Smooth dependence of nonautonomous linearization on parameters ⋮ Multiscale linearization of nonautonomous systems ⋮ Nonuniform contractions and converse stability results via a smooth topological equivalence ⋮ Linearization for difference equations with infinite delay ⋮ A note on the differentiability of discrete Palmer's linearization ⋮ Smooth linearization of nonautonomous coupled systems ⋮ Stability study and control of nonautonomous dynamical systems based on divergence conditions ⋮ Lyapunov Density Criteria for Time-Varying and Periodically Time-Varying Nonlinear Systems with Converse Results ⋮ Linearization and Hölder continuity for nonautonomous systems ⋮ Simultaneous stabilization of polynomial nonlinear systems via density functions ⋮ Smoothness of topological equivalence on the half line for nonautonomous systems ⋮ A note on differentiability of the conjugacy in a delayed version of Hartman-Grobman theorem

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