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Quasiperiodic Patterns in Boundary-Modulated Excitable Waves

Irene Sendiña-Nadal·Vicente Pérez-Muñuzuri·Víctor M. Eguíluz·Emilio Hernández-García·Oreste Piro
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Abstract

We investigate the impact of the domain shape on wave propagation in excitable media. Channelled domains with sinusoidal boundaries are considered. Trains of fronts generated periodically at an extreme of the channel are found to adopt a quasiperiodic spatial configuration stroboscopically frozen in time. The phenomenon is studied in a model for the photo-sensitive Belousov-Zabotinsky reaction, but we give a theoretical derivation of the spatial return maps prescribing the height and position of the successive fronts that is valid for arbitrary excitable reaction-diffusion systems.

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Irene Sendiña-Nadal, Vicente Pérez-Muñuzuri, Víctor M. Eguíluz, Emilio Hernández-García, Oreste Piro. 2000-10-27. Quasiperiodic Patterns in Boundary-Modulated Excitable Waves. https://doi.org/10.1103/physreve.64.046208

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