Dynamics of circle maps with flat spots

@article{JacekGraczyk2010,
abstract = {We study a certain class of weakly order preserving, non-invertible circle maps with irrational rotation numbers and exactly one flat interval. For this class of circle maps we explain the geometric and dynamic structure of orbits. In particular, we formulate the so called upper and lower scaling rules which show an asymmetric and double exponential decay of geometry.},
author = {Jacek Graczyk},
journal = {Fundamenta Mathematicae},
keywords = {circle map; irrotational rotation number; flat interval},
language = {eng},
number = {3},
pages = {267-290},
title = {Dynamics of circle maps with flat spots},
url = {http://eudml.org/doc/282774},
volume = {209},
year = {2010},
}

TY - JOUR
AU - Jacek Graczyk
TI - Dynamics of circle maps with flat spots
JO - Fundamenta Mathematicae
PY - 2010
VL - 209
IS - 3
SP - 267
EP - 290
AB - We study a certain class of weakly order preserving, non-invertible circle maps with irrational rotation numbers and exactly one flat interval. For this class of circle maps we explain the geometric and dynamic structure of orbits. In particular, we formulate the so called upper and lower scaling rules which show an asymmetric and double exponential decay of geometry.
LA - eng
KW - circle map; irrotational rotation number; flat interval
UR - http://eudml.org/doc/282774
ER -