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Diskretnaya Matematika, 2007, Volume 19, Issue 2, Pages 131–160
DOI: https://doi.org/10.4213/dm27 (Mi dm27) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On an automaton model of pursuit

N. Yu. Volkov
Full-text PDF (298 kB) Citations (1)
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DOI: https://doi.org/10.4213/dm27
Abstract: We study the process of pursuing several independent of one another automata (preys) by a system of automata (predators) on a plane. We show that there exists a finite collective of predators which catches any finite independent system of preys such that the prey velocity is less than the predator velocity and their field of vision is not greater that the field of vision of predators, under any initial disposition of the preys provided that the predators start from one point.
Received: 15.06.2005
English version:
Discrete Mathematics and Applications, 2007, Volume 17, Issue 4, Pages 395–424
DOI: https://doi.org/10.1515/dma.2007.033
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: N. Yu. Volkov, “On an automaton model of pursuit”, Diskr. Mat., 19:2 (2007), 131–160; Discrete Math. Appl., 17:4 (2007), 395–424
Citation in format AMSBIB
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\by N.~Yu.~Volkov
\paper On an automaton model of pursuit
\jour Diskr. Mat.
\yr 2007
\vol 19
\issue 2
\pages 131--160
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\crossref{https://doi.org/10.4213/dm27}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2357166}
\zmath{https://zbmath.org/?q=an:05233554}
\elib{https://elibrary.ru/item.asp?id=9577335}
\transl
\jour Discrete Math. Appl.
\yr 2007
\vol 17
\issue 4
\pages 395--424
\crossref{https://doi.org/10.1515/dma.2007.033}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36749054749}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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    References:56
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