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Matematicheskoe modelirovanie, 1991, Volume 3, Number 3, Pages 62–69 (Mi mm2203)  

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical models of phenomena and processes

Alternative approaches to modeling of ordered spatial patterns

A. A. Polezhaev

P.N.Lebedev Physical Institute, the USSR Academy of Sciences
Full-text PDF (826 kB) Citations (1)
Abstract: It is shown that ordered (in particular, periodic) patterns can be described not only by mathematical models of the Turing type, in which the period of the pattern is the intrinsic property of the model and doesn't practically depend of the concrete process on pattern formation, but also by models, which don't possess intrinsic periodicity. In the latter case periodicity is to a great extent determined by kinetics of pattern formation. This statement is demonstrated on the example of two different mathematical models.
Received: 14.07.1989
Language: Russian
Citation: A. A. Polezhaev, “Alternative approaches to modeling of ordered spatial patterns”, Matem. Mod., 3:3 (1991), 62–69
Citation in format AMSBIB
\Bibitem{Pol91}
\by A.~A.~Polezhaev
\paper Alternative approaches to modeling of ordered spatial patterns
\jour Matem. Mod.
\yr 1991
\vol 3
\issue 3
\pages 62--69
\mathnet{http://mi.mathnet.ru/mm2203}
Linking options:
  • https://www.mathnet.ru/eng/mm2203
  • https://www.mathnet.ru/eng/mm/v3/i3/p62
  • 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
    Математическое моделирование
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    Abstract page:292
    Full-text PDF :102
    References:1
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