Workshop on Dynamical Systems and Aperiodic Order
Bielefeld University, Germany
14th - 17th March 2011
All talks take place in Room V3-201 ("Common Room") in the Bielefeld
University main building.
Click here for
a description of the main building.
Quasiperiodically forced circle maps and related systems
Tobias Oertel-Jäger
Abstract:
We give an overview over the theory of quasiperiodically forced circle
maps, focusing on a generalization of Poincare's classification of
circle homeomorphisms and the consequences of this result for
mode-locking phenomena. Some aspects of this theory can be carried
over to other areas in topolgical dynamics, including special flows,
maps on 1D quasicrystals, almost-periodic scalar differential
equations and other dynamical systems arising from hull constructions
on the real line.
The talk is a survey about results that have been obtained with
various co-authors, in particular with Gerhard Keller, Jaroslav Stark,
Kristian Bjerklöv and José Aliste-Prieto.
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