Diffraction of spherical waves by a toroidal obstacle: eikonal approach to excitable reaction-diffusion systems

A.J. Mulholland, J. Gomatam, P. McQuillan

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Diffraction of spherical waves by a toroidal obstacle is analysed using the eikonal approximation to the reaction-diffusion equations with excitable kinetics. We demonstrate the existence of two stationary spherical wave segments, one larger and the other smaller than a hemisphere, blocking the hole of the torus. A detailed stability analysis indicates that the former is unstable and the latter is stable. This analysis suggests that the trapping of a spherical wave front by a toroidal obstacle may be verified experimentally using a chemical medium like the Belouzov-Zhabotinsky reagent in the excitable regime.
Original languageEnglish
Pages (from-to)2785-2799
Number of pages14
JournalProceedings A: Mathematical, Physical and Engineering Sciences
Volume452
Issue number1955
Publication statusPublished - 1996

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