Rotation numbers for quasi-periodically forced monotone circle maps

DOI10.1080/14689360110073641zbMath1047.37025OpenAlexW2019557009MaRDI QIDQ4432896

Ulrike Feudel, Jaroslav Stark, Paul Glendinning, Arkadij S. Pikovskij

Publication date: 2002

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://eprints.maths.manchester.ac.uk/257/1/rotnosub.pdf

zbMATH Keywords

boundednessrotation numbersmin-max characterizationquasi-periodically forced circle maps

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Rotation numbers and vectors (37E45)

Related Items

Jaroslav Stark: 1960–2010, Universal scaling of rotation intervals for quasi-periodically forced circle maps, Transitive sets for quasi-periodically forced monotone maps, One-dimensional monotone nonautonomous dynamical systems, Naishul's theorem for fibered holomorphic maps, Fine structure of mode-locked regions of the quasi-periodically forced circle map, The rigidity of pseudo-rotations on the two-torus and a question of Norton-Sullivan, Rotation numbers for quasiperiodically forced circle maps-mode-locking vs. strict monotonicity, The concept of bounded mean motion for toral homeomorphisms, Strange non-chaotic attractors in quasiperiodically forced circle maps, Semi-uniform sub-additive ergodic theorems for discontinuous skew-product transformations, Strange non-chaotic attractors in quasi-periodically forced circle maps: Diophantine forcing, ρ-bounded orbits and Arnold tongues for quasiperiodically forced circle maps*

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