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

J. Abdulbake; Anthony Mulholland; J. Gomatam

doi:10.1142/S0218348X03002191

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

J. Abdulbake, Anthony Mulholland, J. Gomatam

Department of Engineering Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

7 Citations (Scopus)

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 language	English
Journal	Chaos, Solitons and Fractals
DOIs	https://doi.org/10.1142/S0218348X03002191
Publication status	Published - 2003

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10.1142/S0218348X03002191

https://pureportal-staging.strath.ac.uk/en/publications/3e5f4d39-2697-4add-bfca-7f5c979c27d0

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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.",

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AU - Mulholland, Anthony

AU - Gomatam, J.

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AB - 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.

UR - https://pureportal-staging.strath.ac.uk/en/publications/3e5f4d39-2697-4add-bfca-7f5c979c27d0

U2 - 10.1142/S0218348X03002191

DO - 10.1142/S0218348X03002191

M3 - Article (Academic Journal)

JO - Journal of Chaos, Solitons and Fractals

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