Sharpness for \(C^1\) linearization of planar hyperbolic diffeomorphisms

DOI10.1016/j.jde.2014.08.014zbMath1300.37023arXiv1305.4122OpenAlexW2963984098MaRDI QIDQ462905

Wei Nian Zhang, WenMeng Zhang

Publication date: 22 October 2014

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

Full work available at URL: https://arxiv.org/abs/1305.4122

zbMATH Keywords

functional equationWhitney extension theoreminvariant manifold\(C^1\) linearizationhyperbolic diffeomorphism

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

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