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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 12, Pages 3–15 (Mi ivm8754)  
This article is cited in 3 scientific papers (total in 3 papers)

Overlapping iterated function systems on a segment

M. Barnsleya, K. B. Igudesmanb

a John Dedman Mathematical Sciences Institute Building 27, Australian National University, Canberra, Australia
b Chair of Geometry, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (480 kB) Citations (3)
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Abstract: Overlapping iterated function systems generate families of injective mappings from the attractor onto shift-invariant subsets of the code space. In this paper we consider an example of such a family for the uniformly linear systems of iterated functions on the unit segment.
Keywords: iterated function systems, attractor, dynamical system.
Received: 14.10.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 12, Pages 1–12
DOI: https://doi.org/10.3103/S1066369X12120018
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: M. Barnsley, K. B. Igudesman, “Overlapping iterated function systems on a segment”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 12, 3–15; Russian Math. (Iz. VUZ), 56:12 (2012), 1–12
Citation in format AMSBIB
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\by M.~Barnsley, K.~B.~Igudesman
\paper Overlapping iterated function systems on a~segment
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 12
\pages 3--15
\mathnet{http://mi.mathnet.ru/ivm8754}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137105}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 12
\pages 1--12
\crossref{https://doi.org/10.3103/S1066369X12120018}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84872236662}
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    • 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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    References:47
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