Differentiable Circle Maps with a Flat interval

Authors

J. Graczyk, Warsaw University
L. B. Jonker, Queen's University
G. Swiatek, Princeton University
F. M. Tangerman, Stony Brook University
J. J. P. Veerman, Portland State UniversityFollow

Published In

Communications in Mathematical Physics

Document Type

Article

Publication Date

5-1995

Subjects

Topology, Differential Equations

Abstract

We study weakly order preserving circle maps with a flat interval, which are differentiable even on the boundary of the flat interval. We obtain estimates on the Lebesgue measure and the Hausdorff dimension of the non-wandering set. Also, a sharp transition is found from degenerate geometry to bounded geometry, depending on the degree of the singularities at the boundary of the flat interval.

Rights

Copyright (c) 1995 The Authors

This work is licensed under a Creative Commons Attribution 4.0 International License.

Description

*At the time of publication, Peter Veerman was affiliated with Cidade Universitaria, Brazil.

Persistent Identifier

https://archives.pdx.edu/ds/psu/36036

Citation Details

Graczyk, J., Jonker, L. B., Świątek, G., Tangerman, F. M., & Veerman, J. J. P. (1995). Differentiable circle maps with a flat interval. Communications in Mathematical Physics, 173(3), 599-622.