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Matematicheskoe modelirovanie, 1997, Volume 9, Number 12, Pages 3–15 (Mi mm1483)  

This article is cited in 5 scientific papers (total in 5 papers)

Mathematical models and computer experiment

Qualitative investigation of pattern formation at the initial stage in the reaction-diffusion model

A. I. Lobanov, T. K. Starogilova

Moscow Institute of Physics and Technology
Full-text PDF (935 kB) Citations (5)
Abstract: Behavior dependences of the activator growth at the beginning upon initial conditions is qualitatively investigated in the model of reaction-diffusion type. There is shown that due to saturation term presence bifurcation is possible. Computer simulations confirmed our presumptions were carried out.
Received: 29.04.1997
Bibliographic databases:
Language: Russian
Citation: A. I. Lobanov, T. K. Starogilova, “Qualitative investigation of pattern formation at the initial stage in the reaction-diffusion model”, Mat. Model., 9:12 (1997), 3–15
Citation in format AMSBIB
\Bibitem{LobSta97}
\by A.~I.~Lobanov, T.~K.~Starogilova
\paper Qualitative investigation of pattern formation at the initial stage in the reaction-diffusion model
\jour Mat. Model.
\yr 1997
\vol 9
\issue 12
\pages 3--15
\mathnet{http://mi.mathnet.ru/mm1483}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1609629}
\zmath{https://zbmath.org/?q=an:1071.35524}
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  • https://www.mathnet.ru/eng/mm/v9/i12/p3
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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