Universal scaling of rotation intervals for quasi-periodically forced circle maps

DOI10.1080/14689367.2011.639294zbMath1350.37052OpenAlexW1995130400MaRDI QIDQ2904320

Paul Glendinning, Silvia Pina-Romero

Publication date: 13 August 2012

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

Full work available at URL: https://doi.org/10.1080/14689367.2011.639294

zbMATH Keywords

scalingcircle mapsArnold map

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Simulation of dynamical systems (37M05) Rotation numbers and vectors (37E45)

Cites Work

• Some flesh on the skeleton: the bifurcation structure of bimodal maps
• 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
• Strange attractors that are not chaotic
• Transition to topological chaos for circle maps
• Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervals
• Strange non-chaotic attractor in a quasiperiodically forced circle map
• Strangely dispersed minimal sets in the quasiperiodically forced Arnold circle map
• Rotation numbers for quasi-periodically forced monotone circle maps

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