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Matematicheskoe modelirovanie, 1991, Volume 3, Number 3, Pages 62–69
(Mi mm2203)
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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
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
Citation:
A. A. Polezhaev, “Alternative approaches to modeling of ordered spatial patterns”, Matem. Mod., 3:3 (1991), 62–69
Linking options:
https://www.mathnet.ru/eng/mm2203 https://www.mathnet.ru/eng/mm/v3/i3/p62
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