Sharp regularity of linearization for \(C^{1,1}\) hyperbolic diffeomorphisms

DOI10.1007/s00208-013-0954-xzbMath1288.37026arXiv1305.4121OpenAlexW2014902918MaRDI QIDQ2439285

Witold Jarczyk, WenMeng Zhang, Wei Nian Zhang

Publication date: 14 March 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4121

zbMATH Keywords

invariant foliationsHartman-Grobman theoremLyapunov-Perron equationfiber contraction theorem

Mathematics Subject Classification ID

Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (15)

On invariant manifolds and invariant foliations without a spectral gap ⋮ A generalized Grobman-Hartman theorem for nonautonomous dynamics ⋮ Smooth dependence of nonautonomous linearization on parameters ⋮ Smooth linearization of nonautonomous coupled systems ⋮ Differentiability of the conjugacy in the Hartman-Grobman Theorem ⋮ \(C^1\) Hartman theorem for random dynamical systems ⋮ Approximative dichotomy and persistence of nonuniformly normally hyperbolic invariant manifolds in Banach spaces ⋮ Sharpness for \(C^1\) linearization of planar hyperbolic diffeomorphisms ⋮ Differentiability with respect to parameters in global smooth linearization ⋮ A Siegel theorem for periodic difference systems ⋮ Boundness and linearisation of a class of differential equations with piecewise constant argument ⋮ -Hölder linearization of hyperbolic diffeomorphisms with resonance ⋮ Linearization and Hölder continuity for nonautonomous systems ⋮ Smooth linearization of nonautonomous difference equations with a nonuniform dichotomy ⋮ On Hölder dependence of the parameterized Hartman-Grobman theorem

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