Piecewise smoothness of conjugate homeomorphisms of a circle with corners

DOI10.1007/BF02557404zbMath0988.37046MaRDI QIDQ1567807

Akhtam Dzhalilov

Publication date: 22 July 2002

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

singularitiesrenormalization grouprotation numbercircle homeomorphisms

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 (5)

On piecewise smoothness of conjugacy of classPcircle homeomorphisms to diffeomorphisms and rotations ⋮ 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 ⋮ Non-rigidity for circle homeomorphisms with several break points ⋮ An Extention of Herman’s Theorem for Nonlinear Circle Maps with Two Breaks

Cites Work

• Unnamed Item
• A new proof of M. Herman's theorem
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Sur les courbes definies par les équations différentielles à la surface du tore
• Homeomorphisms of the circle with singularities of “break” type
• Smoothness of conjugacies of diffeomorphisms of the circle with rotations
• Automorphisms of compact groups
• On an invariant measure for homeomorphisms of the circle with a single break point
• Smooth conjugacy and renormalisation for diffeomorphisms of the circle
• Small denominators. I. Mappings of the circumference onto itself

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