Circle diffeomorphisms forced by expanding circle maps

Details Circle diffeomorphisms forced by expanding circle maps Circle diffeomorphisms forced by expanding circle maps

2011-08-04

arxiv.org/abs/1108.1093v1

Mathematics

Dynamical Systems

Scientific paper

We discuss dynamics of skew product maps defined by circle diffeomorphisms forced by expanding circle maps. We construct an open class of such systems that are robust topologically mixing and for which almost all points in the same fiber converge under iteration. This property follows from the construction of an invariant attracting graph in the natural extension, a skew product of circle diffeomorphisms forced by a solenoid homeomorphism.

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