Schwarzian Derivatives and Cylinder Maps

Details Schwarzian Derivatives and Cylinder Maps Schwarzian Derivatives and Cylinder Maps

2006-10-06

arxiv.org/abs/math/0610232v1

Mathematics

Dynamical Systems

19 pages, 3 pictures

Scientific paper

We describe the way in which the sign of the Schwarzian derivative for a
family of diffeomorphisms of the interval $I$ affects the dynamics of an
associated many-to-one skew product map of the cylinder $(\R/\Z)\times I$.

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