Smooth conjugacy and renormalisation for diffeomorphisms of the circle

DOI10.1088/0951-7715/1/4/004zbMath0725.58040OpenAlexW2036326990MaRDI QIDQ5201956

Jaroslav Stark

Publication date: 1988

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/1/4/004

zbMATH Keywords

Diophantine rotation numbersmooth conjugacyrenormalization methods

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)

Related Items (20)

Jaroslav Stark: 1960–2010 ⋮ Linearizable circle diffeomorphisms in one-parameter families ⋮ The conjugating map for commutative groups of circle diffeomorphisms ⋮ On the renormalizations of circle homeomorphisms with several break points ⋮ Some remarks on the geometry of circle maps with a break point ⋮ Combination laws for scaling exponents and relation to the geometry of renormalization operators ⋮ Renormalisation in implicit complex maps ⋮ Conjugation between circle maps with several break points ⋮ $C^1$ smoothness of Liouville arcs in Arnol’d tongues ⋮ Renormalizations of circle homeomorphisms with a single break point ⋮ On piecewise class \(PC^r\) homeomorphisms of the circle which are piecewise \(C^ r (r\geq 1)\) conjugate to irrational rotations ⋮ Beau bounds for multicritical circle maps ⋮ The Hölder property of singular invariant measures of circle homeomorphisms with single corners ⋮ Numerical determination of the continued fraction expansion of the rotation number ⋮ Mode-locking in coupled map lattices ⋮ Renormalization of circle diffeomorphisms with a break-type singularity ⋮ Non-rigidity for circle homeomorphisms with several break points ⋮ Piecewise smoothness of conjugate homeomorphisms of a circle with corners ⋮ On an invariant measure for homeomorphisms of a circle with a point of break ⋮ Dynamics of multicritical circle maps

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