Smoothness of topological equivalence on the half line for nonautonomous systems

DOI10.1017/PRM.2019.32zbMath1467.37026arXiv1801.08960OpenAlexW2963241730WikidataQ127926747 ScholiaQ127926747MaRDI QIDQ4965360

Gonzalo Robledo, Pablo Monzón, Álvaro Castañeda

Publication date: 1 March 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.08960

zbMATH Keywords

uniform asymptotic stabilitytopological equivalencenonautonomous differential equationsmooth equivalence

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Stability theory for smooth dynamical systems (37C75) Nonautonomous smooth dynamical systems (37C60)

Related Items (3)

Topological equivalence of nonautonomous difference equations with a family of dichotomies on the half line ⋮ Nonuniform contractions and converse stability results via a smooth topological equivalence ⋮ A note on the differentiability of discrete Palmer's linearization

Cites Work

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• Generalized exponential dichotomy and global linearization
• On the linearization theorem for nonautonomous differential equations
• Dichotomies in stability theory
• The structurally stable linear systems on the half-line are those with exponential dichotomies
• On Hartman's linearization theorem and Palmer's linearization theorem
• A generalization of Hartman's linearization theorem
• A Sternberg theorem for nonautonomous differential equations
• Differentiability of Palmer's linearization theorem and converse result for density functions
• Global inversion theorems and applications to differential equations
• Homeomorphisms Between Banach Spaces
• On a Theorem of P. Hartman
• Ordinary Differential Equations

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