Structure of inverse limit spaces of tent maps with finite critical orbit

Sonja Štimac

Fundamenta Mathematicae (2006)

  • Volume: 191, Issue: 2, page 125-150
  • ISSN: 0016-2736

Abstract

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Using methods of symbolic dynamics, we analyze the structure of composants of the inverse limit spaces of tent maps with finite critical orbit. We define certain symmetric arcs called bridges. They are building blocks of composants. Then we show that the folding patterns of bridges are characterized by bridge types and prove that there are finitely many bridge types.

How to cite

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Sonja Štimac. "Structure of inverse limit spaces of tent maps with finite critical orbit." Fundamenta Mathematicae 191.2 (2006): 125-150. <http://eudml.org/doc/283308>.

@article{SonjaŠtimac2006,
abstract = {Using methods of symbolic dynamics, we analyze the structure of composants of the inverse limit spaces of tent maps with finite critical orbit. We define certain symmetric arcs called bridges. They are building blocks of composants. Then we show that the folding patterns of bridges are characterized by bridge types and prove that there are finitely many bridge types.},
author = {Sonja Štimac},
journal = {Fundamenta Mathematicae},
keywords = {tent map; inverse limit; composant; folding point; folding pattern},
language = {eng},
number = {2},
pages = {125-150},
title = {Structure of inverse limit spaces of tent maps with finite critical orbit},
url = {http://eudml.org/doc/283308},
volume = {191},
year = {2006},
}

TY - JOUR
AU - Sonja Štimac
TI - Structure of inverse limit spaces of tent maps with finite critical orbit
JO - Fundamenta Mathematicae
PY - 2006
VL - 191
IS - 2
SP - 125
EP - 150
AB - Using methods of symbolic dynamics, we analyze the structure of composants of the inverse limit spaces of tent maps with finite critical orbit. We define certain symmetric arcs called bridges. They are building blocks of composants. Then we show that the folding patterns of bridges are characterized by bridge types and prove that there are finitely many bridge types.
LA - eng
KW - tent map; inverse limit; composant; folding point; folding pattern
UR - http://eudml.org/doc/283308
ER -

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