On the widths of the Arnol’d tongues

DOI10.1017/etds.2013.11zbMath1321.37039arXiv0907.4599OpenAlexW2055057181MaRDI QIDQ2928245

Kuntal Banerjee

Publication date: 7 November 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4599

zbMATH Keywords

rotation numberArnold tonguecircle mapHerman ringtranslation numberorientation-preserving analytic diffeomorphism

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving maps of the interval (37E05) Rotation numbers and vectors (37E45)

Related Items (2)

Diverging period and vanishing dissipation: families of periodic sinks in the quasi-conservative case ⋮ Unnamed Item

Cites Work

• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Small denominators. I. Mappings of the circumference onto itself

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