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Transient behaviour in RDA systems of the Schnakenberg type

Al-Zarka, A; Alagha, A; Timoshin, S; (2015) Transient behaviour in RDA systems of the Schnakenberg type. Journal of Mathematical Chemistry , 53 (1) pp. 111-127. 10.1007/s10910-014-0413-2. Green open access

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Abstract

Initial stages in the evolution of linear disturbances near a homogeneous equilibrium are considered for the standard Schnakenberg and modified Schnakenberg models. The focus is on a possibility of transient amplification of perturbations. It is shown that, depending on the coefficients in the governing equations, transient growth may appear in both asymptotically stable and unstable situations.

Type: Article
Title: Transient behaviour in RDA systems of the Schnakenberg type
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s10910-014-0413-2
Publisher version: http://dx.doi.org/10.1007/s10910-014-0413-2
Language: English
Additional information: © The Author(s) 2014 Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
Keywords: Transient growth, Schnakenberg model, Linear instability
UCL classification: UCL
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URI: https://discovery.ucl.ac.uk/id/eprint/1470736
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