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Journal of Computational and Engineering Mathematics, 2016, Volume 3, Issue 2, Pages 48–56
DOI: https://doi.org/10.14529/jcem1602006 (Mi jcem63) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Computational Mathematics

Mathematical modeling of oregonator with a diffusion type communication

L. A. Prokudina

South Ural State University, Chelyabinsk, Russian Federation
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DOI: https://doi.org/10.14529/jcem1602006
Abstract: We presented a mathematical model of the Belousov–Zhabotinsky reaction for Field–Noyes mechanism, which is called oregonator, taking into account the diffusion of components. A range of stoichiometric coefficient changes, which corresponds to a stationary state oregonator, is found. We study a diffusion instability and two types of unstable modes, as well as the points of oregonator bifurcation.
Keywords: Field–Noyes model, oregonator, diffusion instability, bifurcation point.
Received: 01.06.2016
Bibliographic databases:
Document Type: Article
UDC: 519.87:577.3 + 544.1
MSC: 97M10
Language: English
Citation: L. A. Prokudina, “Mathematical modeling of oregonator with a diffusion type communication”, J. Comp. Eng. Math., 3:2 (2016), 48–56
Citation in format AMSBIB
\Bibitem{Pro16}
\by L.~A.~Prokudina
\paper Mathematical modeling of oregonator with a diffusion type communication
\jour J. Comp. Eng. Math.
\yr 2016
\vol 3
\issue 2
\pages 48--56
\mathnet{http://mi.mathnet.ru/jcem63}
\crossref{https://doi.org/10.14529/jcem1602006}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3527956}
\zmath{https://zbmath.org/?q=an:1357.92029}
\elib{https://elibrary.ru/item.asp?id=26399837}
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