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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 11, Pages 41–45 (Mi ivm8393)  
This article is cited in 4 scientific papers (total in 4 papers)

The structure of dendrites with the periodic point property

E. N. Makhrova

Chair of Differential Equations and Mathematical Analysis, Nizhni Novgorod State University, Nizhni Novgorod, Russia
Full-text PDF (179 kB) Citations (4)
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Abstract: In this paper we study the structure of dendrites with the periodic point property, i.e., dendrites X such that for any continuous map f:X→X and any subcontinuum Y⊂X the condition Y⊂f(Y) implies that Y contains a periodic point of f.
Keywords: dendrite, continuous map, periodic points.
Received: 28.10.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 11, Pages 33–37
DOI: https://doi.org/10.3103/S1066369X11110053
Bibliographic databases:
Document Type: Article
UDC: 517.938
Language: Russian
Citation: E. N. Makhrova, “The structure of dendrites with the periodic point property”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 11, 41–45; Russian Math. (Iz. VUZ), 55:11 (2011), 33–37
Citation in format AMSBIB
\Bibitem{Mak11}
\by E.~N.~Makhrova
\paper The structure of dendrites with the periodic point property
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 11
\pages 41--45
\mathnet{http://mi.mathnet.ru/ivm8393}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2963178}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 11
\pages 33--37
\crossref{https://doi.org/10.3103/S1066369X11110053}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856251847}
Linking options:
  • https://www.mathnet.ru/eng/ivm8393
  • https://www.mathnet.ru/eng/ivm/y2011/i11/p41
    • This publication is cited in the following 4 articles:
    1. E. N. Makhrova, “Remarks on minimal sets on dendrites and finite graphs”, Journal of Difference Equations and Applications, 29:9-12 (2023), 1313  crossref
    2. E. N. Makhrova, “Remarks on the Existence of Periodic Points for Continuous Maps on Dendrites”, Lobachevskii J Math, 43:7 (2022), 1711  crossref
    3. L. S. Efremova, E. N. Makhrova, “One-dimensional dynamical systems”, Russian Math. Surveys, 76:5 (2021), 821–881  mathnet  crossref  crossref  mathscinet  zmath  isi
    4. Makhrova E., European Conference - Workshop Nonlinear Maps and Applications, Journal of Physics Conference Series, 990, IOP Publishing Ltd, 2018  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:475
    Full-text PDF :194
    References:106
    First page:4
     
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