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Open Access item Quasiperiodic Patterns in Boundary-Modulated Excitable Waves

Authors:Sendiña-Nadal, Irene
Pérez-Muñuzuri, Irene
Eguíluz, Víctor M.
Hernández-García, Emilio
Piro, Oreste
Issue Date:21-Sep-2001
Publisher:American Physical Society
Citation:Physical Review E 64, 046208 (1-5) (2001)
Abstract:We investigate the impact of domain shape on wave propagation in excitable media. Channeled 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 that repeats periodically in time. The phenomenon is numerically studied in a model for a photosensitive Belousov-Zabotinsky reaction. Spatial return maps for the height and position of the successive fronts are analytically obtained, and reveal the similarity between this spatial quasiperiodicity and the temporal quasiperiodicity appearing in forced oscillators.
Description:PACS numbers: 05.45.2a, 82.40.Ck, 47.20.Ky
Publisher version (URL):http://dx.doi.org/10.1103/PhysRevE.64.046208
E-ISSNmetadata.dc.identifier.doi = DOI:1550-2376
Appears in Collections:(IMEDEA) Artículos

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