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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

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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.