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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 8, Pages 64–74 (Mi ivm9028)  
This article is cited in 3 scientific papers (total in 3 papers)

Structure of dendrites admitting an existence of arc horseshoe

E. N. Makhrova

Chair of Differential Equations and Mathematical Analysis, Nizhni Novgorod State University, 23 Gagarin Ave., Nizhny Novgorod, 603950 Russia
Full-text PDF (226 kB) Citations (3)
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Abstract: We say that a dendrite $X$ admits an existence of an arc horseshoe if for any continuous map $f$ of $X$ into itself which has a horseshoe $(A,B)$ one can find a natural number $n$ such that $n$-th iteration of $f$ has an arc horseshoe. We investigate the structure of dendrites admitting the existence of an arc horseshoe.
Keywords: dendrite, horseshoe, arc horseshoe.
Received: 24.12.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 8, Pages 52–61
DOI: https://doi.org/10.3103/S1066369X1508006X
Bibliographic databases:
Document Type: Article
UDC: 517.938
Language: Russian
Citation: E. N. Makhrova, “Structure of dendrites admitting an existence of arc horseshoe”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 8, 64–74; Russian Math. (Iz. VUZ), 59:8 (2015), 52–61
Citation in format AMSBIB
\Bibitem{Mak15}
\by E.~N.~Makhrova
\paper Structure of dendrites admitting an existence of arc horseshoe
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 8
\pages 64--74
\mathnet{http://mi.mathnet.ru/ivm9028}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 8
\pages 52--61
\crossref{https://doi.org/10.3103/S1066369X1508006X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84937882131}
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  • https://www.mathnet.ru/eng/ivm/y2015/i8/p64
    • This publication is cited in the following 3 articles:
    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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    Full-text PDF :60
    References:58
    First page:10
     
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