On piecewise smoothness of conjugacy of classPcircle homeomorphisms to diffeomorphisms and rotations

DOI10.1080/14689367.2011.638275zbMath1254.37017arXiv1508.03549OpenAlexW2126598296MaRDI QIDQ2904330

Abdelhamid Adouani, Habib Marzougui

Publication date: 13 August 2012

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

Full work available at URL: https://arxiv.org/abs/1508.03549

zbMATH Keywords

conjugacyjumpbreak point\(P\)-homeomorphismpiecewise \(C^1\) classPL-homeomorphism, rotation number

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15)

Related Items (4)

Conjugation between circle maps with several break points ⋮ On piecewise class \(PC^r\) homeomorphisms of the circle which are piecewise \(C^ r (r\geq 1)\) conjugate to irrational rotations ⋮ Reversibility in groups of piecewise linear homeomorphisms of the circle ⋮ Non-rigidity for circle homeomorphisms with several break points

Cites Work

• Unnamed Item
• Computation of rotation numbers for a class of PL-circle homeomorphisms
• On piecewise class \(PC^r\) homeomorphisms of the circle which are piecewise \(C^ r (r\geq 1)\) conjugate to irrational rotations
• Herman's theory revisited
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Piecewise smoothness of conjugate homeomorphisms of a circle with corners
• PL homeomorphisms of the circle which are piecewise \(C^1\) conjugate to irrational rotations
• On \(C^2\)-diffeomorphisms of the circle which are of type III\(_1\).
• Rotation numbers in Thompson-Stein groups and applications
• Smoothness of conjugacies of diffeomorphisms of the circle with rotations

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