Invariants for smooth conjugacy of hyperbolic dynamical systems. I
type: Item
instance of: scholarly article
title: Invariants for smooth conjugacy of hyperbolic dynamical systems. I
zbMATH Open document ID: 0628.58045
DOI: 10.1007/BF01208962
published in: Communications in Mathematical Physics
publication date: 1987-01-01T00:00:00Z
review text: We prove that the Lyapunov exponents of periodic orbits are a total family of invariants for \(C^{\infty}\) conjugation of families of diffeomorphisms to a two-dimensional toral automorphism. In case of families of canonical diffeomorphisms, the corresponding conjugating diffeomorphisms are also canonical.
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 37C80
zbMATH DE Number: 4022228
zbMATH Keywords: Lyapunov exponents of periodic orbits
zbMATH Keywords: \(C^{\infty }\) conjugation
author: José Manuel Marco
author: Roberto Moriyón
MaRDI profile type: Publication
cites work: Q5566243
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full work available at URL: https://doi.org/10.1007/bf01208962
OpenAlex ID: W4239818894
description: scientific article; zbMATH DE number 4022228