Rotation numbers for quasiperiodically forced circle maps - Mode-locking vs strict monotonicity

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dc.creatorBjerkloev, Kristian
dc.creatorJaeger, Tobias
dc.date2006-07-24
dc.date.accessioned2026-07-07T07:20:51Z
dc.date.available2026-07-07T07:20:51Z
dc.descriptionWe describe the relation between the dynamical properties of a quasiperiodically forced orientation-preserving circle homeomorphism and the behavior of the fibered rotation number with respect to strictly monotone perturbations. Despite the fact that the dynamics in the forced case can be considerably more complicated, the result we obtain is in perfect analogy with the one-dimensional situation. In particular, the fibered rotation number behaves strictly monotonically whenever the rotation vector is irrational. This answers a question posed by Herman (1983, Comm. Math. Helv.).
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0607598
dc.identifierhttp://arxiv.org/abs/math/0607598
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115100
dc.subjectDynamical Systems
dc.subject37E45
dc.titleRotation numbers for quasiperiodically forced circle maps - Mode-locking vs strict monotonicity
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