Periodic points and transitivity on dendrites

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA1801GK0" target="_blank" >RIV/61988987:17610/17:A1801GK0 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1017/etds.2015.137" target="_blank" >http://dx.doi.org/10.1017/etds.2015.137</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1017/etds.2015.137" target="_blank" >10.1017/etds.2015.137</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Periodic points and transitivity on dendrites

Popis výsledku v původním jazyce

We study relations between transitivity, mixing and periodic points on dendrites. We prove that, when there is a point with dense orbit which is a cutpoint, periodic points are dense and there is a terminal periodic decomposition. We also show that it is possible that all periodic points except one (and points with dense orbit) are contained in the (dense) set of endpoints. It is also possible that a dynamical system is transitive but there is a unique periodic point which, in fact, is the unique fixed point. We also prove that on almost meshed continua (a class of continua containing topological graphs and dendrites with closed or countable set of endpoints), periodic points are dense if and only if they are dense for the map induced on the hyperspace of all non-empty compact subsets.

Název v anglickém jazyce

Periodic points and transitivity on dendrites

Popis výsledku anglicky

We study relations between transitivity, mixing and periodic points on dendrites. We prove that, when there is a point with dense orbit which is a cutpoint, periodic points are dense and there is a terminal periodic decomposition. We also show that it is possible that all periodic points except one (and points with dense orbit) are contained in the (dense) set of endpoints. It is also possible that a dynamical system is transitive but there is a unique periodic point which, in fact, is the unique fixed point. We also prove that on almost meshed continua (a class of continua containing topological graphs and dendrites with closed or countable set of endpoints), periodic points are dense if and only if they are dense for the map induced on the hyperspace of all non-empty compact subsets.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

ERGOD THEOR DYN SYST

ISSN

0143-3857

e-ISSN

—

Svazek periodika

37

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

17

Strana od-do

2017-2033

Kód UT WoS článku

000409428600001

EID výsledku v databázi Scopus

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