On conjugacies between piecewise-smooth circle maps

DOI10.1016/j.na.2013.12.013zbMath1347.37046arXiv1302.6691OpenAlexW2080220843MaRDI QIDQ2439320

Habibulla Akhadkulov, Akhtam Dzhalilov, Mohd. Salmi Md. Noorani

Publication date: 14 March 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.6691

zbMATH Keywords

invariant measurerotation numbercircle homeomorphismconjugating map

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)

Related Items (3)

On conjugations of \(P\)-homeomorphisms ⋮ Non-rigidity for circle homeomorphisms with several break points ⋮ A sufficient condition for \(C^1\)-smoothness of the conjugation between piecewise smooth circle homeomorphisms

Cites Work

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• Singular measures of piecewise smooth circle homeomorphisms with two break points
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• On an invariant measure for homeomorphisms of a circle with a point of break
• Renormalizations and rigidity theory for circle homeomorphisms with singularities of the break type
• Rotation number, invariant measures and ratio set of PL homeomorphisms of the circle.
• Renormalization horseshoe and rigidity for circle diffeomorphisms with breaks
• Conjugations between circle maps with a single break point
• Rigidity for piecewise smooth homeomorphisms on the circle
• Piecewise-smooth circle homeomorphisms with several break points
• Circle homeomorphisms with two break points
• Smoothness of conjugacies of diffeomorphisms of the circle with rotations
• Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne

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