Smooth moduli-free normal forms of hyperbolic germs of diffeomorphisms

DOI10.1080/14689367.2013.781994zbMath1280.37028OpenAlexW2025715292MaRDI QIDQ2844020

Zhaoxia Peng, Zhi-hua Ren

Publication date: 27 August 2013

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2013.781994

zbMATH Keywords

linear partsmooth conjugacygerm of diffeomorphismhyperboic fixed pointmoduli-free normal form

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15)

Cites Work

• Linearization of class \(C^{1}\) for contractions on Banach spaces
• \(a\)-Hölder linearization
• Smooth linearization for a saddle on Banach spaces
• Polynomial normal forms for vector fields on \(\mathbf R^3\)
• Linearization of germs of hyperbolic vector fields.
• EQUIVALENCE AND NORMAL FORMS OF GERMS OF SMOOTH MAPPINGS
• MODULI-FREE NORMAL FORMS AND LINEARIZATION OF VECTOR FIELDS
• Local contractions of Banach spaces and spectral gap conditions
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