Diskretnaya Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Diskr. Mat.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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)
References:
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
\Bibitem{Vol07}
\by N.~Yu.~Volkov
\paper On an automaton model of pursuit
\jour Diskr. Mat.
\yr 2007
\vol 19
\issue 2
\pages 131--160
\mathnet{http://mi.mathnet.ru/dm27}
\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}
Linking options:
  • https://www.mathnet.ru/eng/dm27
  • https://doi.org/10.4213/dm27
  • https://www.mathnet.ru/eng/dm/v19/i2/p131
  • 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
    Statistics & downloads:
    Abstract page:461
    Full-text PDF :250
    References:56
    First page:11
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024