RUS  ENG
Full version
JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 1991 Volume 3, Number 3, Pages 62–69 (Mi mm2203)

This article is cited 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



© Steklov Math. Inst. of RAS, 2024