-Hölder linearization of hyperbolic diffeomorphisms with resonance

DOI10.1017/ETDS.2014.51zbMath1354.37030OpenAlexW2324103218MaRDI QIDQ2793110

WenMeng Zhang, Wei Nian Zhang

Publication date: 15 March 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2014.51

zbMATH Keywords

hyperbolic diffeomorphismsresonance\(\alpha\)-Hölder continuityLipschitz conjugacy

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (3)

On invariant manifolds and invariant foliations without a spectral gap ⋮ Linearization and invariant manifolds on the carrying simplex for competitive maps ⋮ On Hölder dependence of the parameterized Hartman-Grobman theorem

Cites Work

• \(C^{1}\) linearization for planar contractions
• Smooth linearization of hyperbolic fixed points without resonance conditions
• Hölder Grobman-Hartman linearization
• \(a\)-Hölder linearization
• Invariant foliations for \(C^1\) semigroups in Banach spaces
• Differentiability of the Hartman-Grobman linearization
• \(\sigma\)-Hölder continuous linearization near hyperbolic fixed points in \(\mathbb{R}^n\)
• Invariant foliations for parabolic equations
• Sharp regularity of linearization for \(C^{1,1}\) hyperbolic diffeomorphisms
• Local Contractions and a Theorem of Poincare
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Smooth Linearization Near a Fixed Point
• EQUIVALENCE AND NORMAL FORMS OF GERMS OF SMOOTH MAPPINGS
• Invariant foliations near normally hyperbolic invariant manifolds for semiflows
• Foliations

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