Brusselator: An abstract chemical reaction?

A. I. Lavrova, E. B. Postnikov, Yu M. Romanovsky

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

In this paper we consider the Brusselator and the Sel'kov model, which describes the irreversible reaction of glycolysis in the regime of self-sustained oscillations. We show that these two differently constructed models can be reduced to a single equation - a generalized Rayleigh equation. The physical basis for this generality is investigated. The advantages of this equation as a tool for qualitative and quantitative analyses, as well as the similarities and differences of the solutions realized for each of the two concrete models in the cases of almost harmonic and relaxation self-sustained oscillations, are discussed.

Original languageEnglish
Pages (from-to)1239-1244
Number of pages6
JournalPhysics-Uspekhi
Volume52
Issue number12
DOIs
StatePublished - 1 Dec 2009
Externally publishedYes

Scopus subject areas

  • Physics and Astronomy(all)

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