Quasiperiodic Patterns in Boundary-Modulated Excitable Waves
Pattern Formation and Solitons
2016-08-15 v1
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.
Cite
@article{arxiv.nlin/0010047,
title = {Quasiperiodic Patterns in Boundary-Modulated Excitable Waves},
author = {Irene Sendiña-Nadal and Vicente Pérez-Muñuzuri and Víctor M. Eguíluz and Emilio Hernández-García and Oreste Piro},
journal= {arXiv preprint arXiv:nlin/0010047},
year = {2016}
}
Comments
4 pages (figures included)