The Denjoy type-of argument for quasiperiodically forced circle diffeomorphisms
Dynamical Systems
2007-05-23 v1
Abstract
We carry the argument used in the proof of the Theorem of Denjoy over to the quasiperiodically forced case. Thus we derive that if a system of quasiperiodically forced circle diffeomorphisms with bounded variation of the derivative has no invariant graphs with a certain kind of topological regularity, then the system is topologically transitive.
Cite
@article{arxiv.math/0312023,
title = {The Denjoy type-of argument for quasiperiodically forced circle diffeomorphisms},
author = {Tobias H. Jaeger and Gerhard Keller},
journal= {arXiv preprint arXiv:math/0312023},
year = {2007}
}