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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 3, Pages 40–46 (Mi ivm8781)  
This article is cited in 3 scientific papers (total in 3 papers)

The existence of a linear horseshoe of continuous maps of dendrites

E. N. Makhrova

Chair of Diferential Equations and Mathematical Analysis, Nizhni Novgorod State University, N. Novgorod, Russia
Full-text PDF (177 kB) Citations (3)
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Abstract: Assume that a continuous map $f$ defined on a dendrite $X$ has a horseshoe $(A,B)$, where $A$ and $B$ are nonempty disjoint subcontinua in $X$. In this paper we obtain conditions for the structure of sets $A$ and $B$ under which some iteration of $f$ has a linear horseshoe.
Keywords: dendrite, horseshoe, linear horseshoe.
Received: 31.01.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 3, Pages 32–37
DOI: https://doi.org/10.3103/S1066369X13030043
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. N. Makhrova, “The existence of a linear horseshoe of continuous maps of dendrites”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 3, 40–46; Russian Math. (Iz. VUZ), 57:3 (2013), 32–37
Citation in format AMSBIB
\Bibitem{Mak13}
\by E.~N.~Makhrova
\paper The existence of a~linear horseshoe of continuous maps of dendrites
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 3
\pages 40--46
\mathnet{http://mi.mathnet.ru/ivm8781}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 3
\pages 32--37
\crossref{https://doi.org/10.3103/S1066369X13030043}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84876254665}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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