Naishul's theorem for fibered holomorphic maps

DOI10.1007/s00209-011-0893-8zbMath1255.37020arXiv0911.3860OpenAlexW2124011958MaRDI QIDQ444177

Mario Ponce

Publication date: 13 August 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3860

zbMATH Keywords

topological conjugacyrotation numberscircle homemorphisms

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Rotation numbers and vectors (37E45) Dynamical systems over complex numbers (37F99)

Cites Work

• Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
• Rotation numbers for quasi-periodically forced monotone circle maps
• A topological invariant for volume preserving diffeomorphisms
• A topological characterization of holomorphic parabolic germs in the plane
• Local dynamics for fibred holomorphic transformations
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