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 language | English |
|---|---|
| Pages (from-to) | 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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Mulholland, A. J., Gomatam, J., & 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), 2785-2799.