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Uspekhi Fizicheskikh Nauk, 2009, Volume 179, Number 12, Pages 1327–1332
DOI: https://doi.org/10.3367/UFNr.0179.200912h.1327 (Mi ufn859) 		 
This article is cited in 20 scientific papers (total in 20 papers)

METHODOLOGICAL NOTES

Brusselator: an abstract chemical reaction?

A. I. Lavrovaa, E. B. Postnikovb, Yu. M. Romanovskyc

a Humboldt-Universität zu Berlin, Institut für Physik
b Physics and Mathematics Faculty, Kursk State University
c Physics Department, M.V. Lomonosov Moscow State University
Full-text PDF (1166 kB) Citations (20)
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DOI: https://doi.org/10.3367/UFNr.0179.200912h.1327
Abstract: The Bruselator and the Selkov model which describes an irreversible glycolysis reaction in the self-sustained regime are discussed. It is shown that these two differently structured models can be reduced to a single equation, the generalized Rayleigh equation. The physical basis of this reduction is examined. The advantages of the obtained equation as a quantitative and qualitative analysis tool are discussed, as are the similarities and differences of the solutions from the two models for nearly harmonic and relaxation self-oscillations.
Received: August 12, 2009
English version:
Physics–Uspekhi, 2009, Volume 52, Issue 12, Pages 1239–1244
DOI: https://doi.org/10.3367/UFNe.0179.200912h.1327
Bibliographic databases:
Document Type: Article
PACS: 02.30.Hq, 82.39.-k, 82.40.Bj
Language: Russian
Citation: A. I. Lavrova, E. B. Postnikov, Yu. M. Romanovsky, “Brusselator: an abstract chemical reaction?”, UFN, 179:12 (2009), 1327–1332; Phys. Usp., 52:12 (2009), 1239–1244
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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