Quasiperiodic Patterns in Boundary-Modulated Excitable Waves

Details Quasiperiodic Patterns in Boundary-Modulated Excitable Waves Quasiperiodic Patterns in Boundary-Modulated Excitable Waves

2000-10-27

arxiv.org/abs/nlin/0010047v1

Phys. Rev. E 046208 (2001)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages (figures included)

Scientific paper

10.1103/PhysRevE.64.046208

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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