The Denjoy type of argument for quasiperiodically forced circle diffeomorphisms

DOI10.1017/S0143385705000477zbMath1087.37031arXivmath/0312023MaRDI QIDQ5289898

Gerhard Keller, Tobias Jäger

Publication date: 19 April 2006

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

Full work available at URL: https://arxiv.org/abs/math/0312023

zbMATH Keywords

invariant measuresrotation numberfibrestopological regularityinvariant graphsDenjoy theoremFurstenberg's resultsinvariant stripsquasiperiodically forced circle maps

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (7)

Almost periodically forced circle flows ⋮ Periodic point free homeomorphisms of the open annulus: from skew products to non-fibred maps ⋮ Sur la persistance des courbes invariantes pour les dynamiques holomorphes fibrées lisses ⋮ Rotation numbers for quasiperiodically forced circle maps-mode-locking vs. strict monotonicity ⋮ Denjoy constructions for fibered homeomorphisms of the torus ⋮ Strange non-chaotic attractors in quasiperiodically forced circle maps ⋮ On the persistence of invariant curves for fibered holomorphic transformations

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