Existence and stability of reaction-diffusion waves on a fractal lattice

Abdulbake, J. and Mulholland, A. and Gomatam, J. (2004) Existence and stability of reaction-diffusion waves on a fractal lattice. Chaos, Solitons and Fractals, 20 (4). pp. 799-814. ISSN 0960-0779 (http://dx.doi.org/10.1016/j.chaos.2003.09.003)

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Abstract

This paper discusses reaction-diffusion wave propagation in fractal lattices, of infinite generation level. We describe how an input/output renormalisation approach can be used to investigate the existence of travelling waves. We also develop a framework for discussing the stability of these travelling waves.

ORCID iDs

Abdulbake, J., Mulholland, A. ORCID logoORCID: https://orcid.org/0000-0002-3626-4556 and Gomatam, J.;
  • Item type:Article
    ID code:4557
    Dates:
    Date
    Event
    2004
    Published
    Keywords:fractal lattices, wave theory, numerical mathematics, fractals, solitons, Mathematics, Physics, Mathematics(all)
    Subjects:Science > Mathematics
    Science > Physics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Strathprints Administrator
    Date deposited:01 Nov 2007
    Last modified:24 Mar 2023 01:34
    URI:https://strathprints.strath.ac.uk/id/eprint/4557
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