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Matematicheskie Zametki, 1998, Volume 63, Issue 2, Pages 183–195
DOI: https://doi.org/10.4213/mzm1265 (Mi mzm1265) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Dynamics of elementary maps of dendrites

M. I. Voinova, L. S. Efremova

N. I. Lobachevski State University of Nizhni Novgorod
Full-text PDF (255 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm1265
Abstract: The notion of elementary map of a dendrite into itself is introduced. Arithmetical relations between the periods of periodic points are given; the structure of $\omega$-limit sets, sets of periodic and nonwandering points is described; the topological entropy of elementary maps is shown to be equal to 0. Examples are given illustrating the differences in the entropic properties of continuous maps of dendrites with a countable set of branch points and continuous maps of their
Received: 11.04.1994
Revised: 27.08.1996
English version:
Mathematical Notes, 1998, Volume 63, Issue 2, Pages 161–171
DOI: https://doi.org/10.1007/BF02308755
Bibliographic databases:
UDC: 515.122
Language: Russian
Citation: M. I. Voinova, L. S. Efremova, “Dynamics of elementary maps of dendrites”, Mat. Zametki, 63:2 (1998), 183–195; Math. Notes, 63:2 (1998), 161–171
Citation in format AMSBIB
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\paper Dynamics of elementary maps of dendrites
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\yr 1998
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\pages 183--195
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\jour Math. Notes
\yr 1998
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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