Smooth dependence of nonautonomous linearization on parameters

DOI10.1016/j.jde.2022.07.036zbMath1506.37027OpenAlexW4289515950MaRDI QIDQ2172462

Publication date: 15 September 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2022.07.036

zbMATH Keywords

linearization nonuniform exponential dichotomy conjugacy equation Hölder dependence \(C^r\) dependence

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Stability theory for smooth dynamical systems (37C75)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Sharpness for \(C^1\) linearization of planar hyperbolic diffeomorphisms
Differentiability with respect to parameters in global smooth linearization
On the Hartman-Grobman theorem with parameters
Dependence of topological conjugacies on parameters
Smooth linearization of hyperbolic fixed points without resonance conditions
Robustness of nonuniform exponential dichotomies in Banach spaces
Linearization in two dimensions
Functional equations and conjugacy of local diffeomorphisms of a finite smoothness class
On the continuous dependence of the smooth change of coordinates in parametrized normal form theorems
The existence of infinitely many homoclinic doubling bifurcations from some codimension 3 homoclinic orbits
On a linearization theorem of Sternberg for germs of diffeomorphisms
Smooth linearization under nonuniform hyperbolicity
On Hölder dependence of the parameterized Hartman-Grobman theorem
A generalization of Hartman's linearization theorem
Smooth linearization of nonautonomous difference equations with a nonuniform dichotomy
A Sternberg theorem for nonautonomous differential equations
Sharp regularity of linearization for \(C^{1,1}\) hyperbolic diffeomorphisms
Stability of mixing and rapid mixing for hyperbolic flows
On the period of the limit cycles appearing in one-parameter bifurcations
A Grobman--Hartman theorem for nonuniformly hyperbolic dynamics
Differentiability of Palmer's linearization theorem and converse result for density functions
Local Contractions and a Theorem of Poincare
Smooth Linearization Near a Fixed Point
Formulae for high derivatives of composite functions
On a differentiable linearization theorem of Philip Hartman
Smooth linearization of nonautonomous differential equations with a nonuniform dichotomy
A Lemma in the Theory of Structural Stability of Differential Equations
Exponential dichotomies with respect to a sequence of norms and admissibility
On a Theorem of P. Hartman
Local contractions of Banach spaces and spectral gap conditions

This page was built for publication: Smooth dependence of nonautonomous linearization on parameters