Self-similarity of bubbles

DOI10.1088/1361-6544/ab1b8fzbMath1417.37150arXiv1805.04769OpenAlexW3102353760WikidataQ127659303 ScholiaQ127659303MaRDI QIDQ5383757

Nataliya Yu. Goncharuk

Publication date: 20 June 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04769

zbMATH Keywords

fractalsrotation numberscircle diffeomorphisms

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Self-similar stochastic processes (60G18) Fractals (28A80) Rotation numbers and vectors (37E45)

Cites Work

• Rotation numbers and moduli of elliptic curves
• Complex rotation numbers
• Complex rotation numbers: bubbles and their intersections
• Normal forms for certain singularities of vectorfields
• Relative density of irrational rotation numbers in families of circle diffeomorphisms
• Linéarisation des perturbations holomorphes des rotations et applications
• $C^k$ conjugacy of 1-d diffeomorphisms with periodic points
• Conventional multipliers for homoclinic orbits
• Moduli of elliptic curves and rotation numbers of circle diffeomorphisms
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