Renormalization of circle diffeomorphisms with a break-type singularity

DOI10.1088/1361-6544/aa6d94zbMath1431.37039arXiv1510.03202OpenAlexW2962814540MaRDI QIDQ4978481

Sokhobiddin Akhatkulov, Habibulla Akhadkulov, Mohd. Salmi Md. Noorani

Publication date: 11 August 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03202

zbMATH Keywords

convergencerenormalizationrotation numberMöbius transformationbreak pointcircle diffeomorphism

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Singularities of differentiable mappings in differential topology (57R45) Rotation numbers and vectors (37E45)

Related Items (8)

Robust local Hölder rigidity of circle maps with breaks ⋮ On the renormalizations of circle homeomorphisms with several break points ⋮ Asymmetric unimodal maps with non-universal period-doubling scaling laws ⋮ On the invariant measure of a piecewise-smooth circle homeomorphism of Zygmund class ⋮ Volume of the hyperbolic cantor sets ⋮ On the singularity of the conjugation between piecewise-smooth circle homeomorphisms ⋮ Renormalization of symmetric bimodal maps with low smoothness ⋮ A sufficient condition for \(C^1\)-smoothness of the conjugation between piecewise smooth circle homeomorphisms

Cites Work

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• Hyperbolic horseshoe for circle diffeomorphisms with break
• Renormalizations of circle homeomorphisms with a single break point
• Renormalization conjecture and rigidity theory for circle diffeomorphisms with breaks
• Robust rigidity for circle diffeomorphisms with singularities
• 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)
• Renormalizations and rigidity theory for circle homeomorphisms with singularities of the break type
• Renormalization horseshoe for critical circle maps
• Renormalization horseshoe and rigidity for circle diffeomorphisms with breaks
• Rigidity of critical circle mappings. I
• Rigidity for piecewise smooth homeomorphisms on the circle
• Renormalization for piecewise smooth homeomorphisms on the circle
• Hyperbolicity of renormalization of circle maps with a break-type singularity
• Topological conjugacy of circle diffeomorphisms
• Homeomorphisms of the circle with singularities of “break” type
• 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
• Rigidity of critical circle mappings II
• On conjugations of circle homeomorphisms with two break points
• Smooth conjugacy and renormalisation for diffeomorphisms of the circle

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