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Periodic points and transitivity on dendrites

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Periodic points and transitivity on dendrites

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

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

  • Continuities

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

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    ERGOD THEOR DYN SYST

  • ISSN

    0143-3857

  • e-ISSN

  • Volume of the periodical

    37

  • Issue of the periodical within the volume

    7

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    17

  • Pages from-to

    2017-2033

  • UT code for WoS article

    000409428600001

  • EID of the result in the Scopus database