Circle diffeomorphisms forced by expanding circle maps
| Authors |
|
| Publication date |
2012
|
| Journal |
Ergodic theory and dynamical systems
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| Volume | Issue number |
32 | 6
|
| Pages (from-to) |
2011-2024
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| Organisations |
-
Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
|
| Abstract |
We discuss the dynamics of skew product maps defined by circle diffeomorphisms forced by expanding circle maps. We construct an open class of such systems that are robustly 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.
|
| Document type |
Article
|
| Language |
English
|
| Published at |
https://doi.org/10.1017/S014338571100068X
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