English

Schwarzian Derivatives and Cylinder Maps

Dynamical Systems 2021-02-23 v1

Abstract

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

Cite

@article{arxiv.math/0610232,
  title  = {Schwarzian Derivatives and Cylinder Maps},
  author = {Araceli Bonifant and John Milnor},
  journal= {arXiv preprint arXiv:math/0610232},
  year   = {2021}
}

Comments

19 pages, 3 pictures

R2 v1 2026-07-22T17:43:50.008Z