Picture of a sphere with binary code

Making Strathclyde research discoverable to the world...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. It exposes Strathclyde's world leading Open Access research to many of the world's leading resource discovery tools, and from there onto the screens of researchers around the world.

Explore Strathclyde Open Access research content

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

Abdulbake, J. and Mulholland, A.J. and Gomatam, J. (2003) A renormalisation approach to excitable reaction-diffusion waves in fractal media. Chaos, Solitons and Fractals, 11 (4). pp. 315-330. ISSN 0960-0779

[img]
Preview
PDF (abdulbake_2003_Fractals8.pdf)
abdulbake_2003_Fractals8.pdf

Download (881kB) | Preview

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.