A renormalisation approach to excitable reaction-diffusion waves in fractal media

Janan Abdulbake, Anthony J. Mulholland, Jagannathan Gomatam

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    7 Citations (Scopus)
    159 Downloads (Pure)

    Abstract

    Of fundamental importance to wave propagation in a wide range of physical phenomena is the structural geometry of the supporting medium. Recently, there have been several investigations on wave propagation in fractal media. We present here a renormalization approach to the study of reaction-diffusion (RD) wave propagation on finitely ramified fractal structures. In particular we will study a Rinzel-Keller (RK) type model, supporting travelling waves on a Sierpinski gasket (SG), lattice.
    Original languageEnglish
    Pages (from-to)315-330
    Number of pages16
    JournalChaos, Solitons and Fractals
    Volume11
    Issue number4
    DOIs
    Publication statusPublished - 2003

    Keywords

    • wave propagation
    • fractals
    • renormalisation
    • mathematics

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