Folding points of unimodal inverse limit spaces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA2101X4M" target="_blank" >RIV/61988987:17610/20:A2101X4M - isvavai.cz</a>

Výsledek na webu

<a href="https://iopscience.iop.org/article/10.1088/1361-6544/ab4e31" target="_blank" >https://iopscience.iop.org/article/10.1088/1361-6544/ab4e31</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1361-6544" target="_blank" >10.1088/1361-6544</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Folding points of unimodal inverse limit spaces

Popis výsledku v původním jazyce

Williams' work from the 1960s and 1970s provides a thorough understanding of hyperbolic one-dimensional attractors through their representation as inverse limits. In fact, point in a uniformly hyperbolic attractor has a neighbourhood that is homeomorphic to a Cantor set of open arcs. In order to understand the topology of non-uniformly hyperbolic attractors better, we study the existence and prevalence of points with more complicated local structures in simple models of planar attractors, focusing on unimodal inverse limits setting. Such points whose neighbourhoods are not homeomorphic to the product of a Cantor set and an open arc are called folding points. We distinguish between various types of folding points and study how the dynamics of the underlying unimodal map affects their structures. Specifically, we characterise unimodal inverse limit spaces for which every folding point is an endpoint.

Název v anglickém jazyce

Folding points of unimodal inverse limit spaces

Popis výsledku anglicky

Williams' work from the 1960s and 1970s provides a thorough understanding of hyperbolic one-dimensional attractors through their representation as inverse limits. In fact, point in a uniformly hyperbolic attractor has a neighbourhood that is homeomorphic to a Cantor set of open arcs. In order to understand the topology of non-uniformly hyperbolic attractors better, we study the existence and prevalence of points with more complicated local structures in simple models of planar attractors, focusing on unimodal inverse limits setting. Such points whose neighbourhoods are not homeomorphic to the product of a Cantor set and an open arc are called folding points. We distinguish between various types of folding points and study how the dynamics of the underlying unimodal map affects their structures. Specifically, we characterise unimodal inverse limit spaces for which every folding point is an endpoint.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

NONLINEARITY

ISSN

0951-7715

e-ISSN

—

Svazek periodika

33

Číslo periodika v rámci svazku

224

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

25

Strana od-do

224-248

Kód UT WoS článku

000499857400001

EID výsledku v databázi Scopus

2-s2.0-85081298779