Simple and complex dynamics for circle maps.

Alsedà, Lluís, and Fedorenko, Vladimir. "Simple and complex dynamics for circle maps.." Publicacions Matemàtiques 37.2 (1993): 305-316. <http://eudml.org/doc/41536>.

@article{Alsedà1993,
abstract = {The continuous self maps of a closed interval of the real line with zero topological entropy can be characterized in terms of the dynamics of the map on its chain recurrent set. In this paper we extend this characterization to continuous self maps of the circle. We show that, for these maps, the chain recurrent set can exhibit a new dynamic behaviour which is specific of the circle maps of degree one.},
author = {Alsedà, Lluís, Fedorenko, Vladimir},
journal = {Publicacions Matemàtiques},
keywords = {Sistemas dinámicos; Dinámica no lineal; Aplicaciones continuas; complex dynamics; horseshoe maps; simple interval maps; circle maps; periodic points},
language = {eng},
number = {2},
pages = {305-316},
title = {Simple and complex dynamics for circle maps.},
url = {http://eudml.org/doc/41536},
volume = {37},
year = {1993},
}

TY - JOUR
AU - Alsedà, Lluís
AU - Fedorenko, Vladimir
TI - Simple and complex dynamics for circle maps.
JO - Publicacions Matemàtiques
PY - 1993
VL - 37
IS - 2
SP - 305
EP - 316
AB - The continuous self maps of a closed interval of the real line with zero topological entropy can be characterized in terms of the dynamics of the map on its chain recurrent set. In this paper we extend this characterization to continuous self maps of the circle. We show that, for these maps, the chain recurrent set can exhibit a new dynamic behaviour which is specific of the circle maps of degree one.
LA - eng
KW - Sistemas dinámicos; Dinámica no lineal; Aplicaciones continuas; complex dynamics; horseshoe maps; simple interval maps; circle maps; periodic points
UR - http://eudml.org/doc/41536
ER -