Mulholland, A.J. and Gomatam, J. and McQuillan, P. (1996) *Diffraction of spherical waves by a toroidal obstacle: eikonal approach to excitable reaction-diffusion systems.* Proceedings A: Mathematical, Physical and Engineering Sciences, 452 (1955). pp. 2785-2799.

## 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.

Item type: | Article |
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ID code: | 18662 |

Keywords: | Mathematics |

Subjects: | Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Mrs Carolynne Westwood |

Date Deposited: | 15 Oct 2010 13:57 |

Last modified: | 06 Dec 2013 21:31 |

URI: | http://strathprints.strath.ac.uk/id/eprint/18662 |

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