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Publication Detail
Transient behaviour in RDA systems of the Schnakenberg type
  • Publication Type:
    Journal article
  • Authors:
    Al-Zarka A, Alagha A, Timoshin S
  • Publication date:
    01/2015
  • Pagination:
    111, 127
  • Journal:
    Journal of Mathematical Chemistry
  • Volume:
    53
  • Issue:
    1
  • Status:
    Published
  • Print ISSN:
    1572-8897
  • Language:
    English
  • Keywords:
    Transient growth, Schnakenberg model, Linear instability
  • Notes:
    © 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.
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.
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