### Abstract

Language | English |
---|---|

Pages | 2785-2799 |

Number of pages | 14 |

Journal | Proceedings A: Mathematical, Physical and Engineering Sciences |

Volume | 452 |

Issue number | 1955 |

Publication status | Published - 1996 |

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### Cite this

*Proceedings A: Mathematical, Physical and Engineering Sciences*,

*452*(1955), 2785-2799.

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*Proceedings A: Mathematical, Physical and Engineering Sciences*, vol. 452, no. 1955, pp. 2785-2799.

**Diffraction of spherical waves by a toroidal obstacle: eikonal approach to excitable reaction-diffusion systems.** / Mulholland, A.J.; Gomatam, J.; McQuillan, P.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Diffraction of spherical waves by a toroidal obstacle: eikonal approach to excitable reaction-diffusion systems

AU - Mulholland, A.J.

AU - Gomatam, J.

AU - McQuillan, P.

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

UR - http://www.jstor.org/stable/52870

M3 - Article

VL - 452

SP - 2785

EP - 2799

JO - Proceedings A: Mathematical, Physical and Engineering Sciences

T2 - Proceedings A: Mathematical, Physical and Engineering Sciences

JF - Proceedings A: Mathematical, Physical and Engineering Sciences

SN - 1364-5021

IS - 1955

ER -