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| Title: | Filament bifurcations in a one-dimensional model of reacting excitable fluid flow |
Authors: | Hernández-García, Emilio CSIC ORCID ; López, Cristóbal CSIC ORCID ; Neufeld, Zoltan | Keywords: | Excitable media Reacting flows Reacting filaments [PACS] Oscillations, chaos, and bifurcations [PACS] Pattern formation in reactions with diffusion, flow and heat transfer [PACS] Reactive, radiative, or nonequilibrium flows [PACS] Chaos |
Issue Date: | 28-Jun-2003 | Publisher: | Elsevier | Citation: | Physica A 327(1-2): 59-64 (2003) | Abstract: | Recently, it has been shown that properties of excitable media stirred by two-dimensional chaotic flows can be properly studied in a one-dimensional framework describing the transverse profile of the filament-like structures observed in the system. Here, we perform a bifurcation analysis of this one-dimensional approximation. Different branches of stable solutions and a Hopf bifurcation leading to an oscillating filament are described. | Description: | 6 pages 3 figures.-- PACS nrs.: 82.40.Bj; 82.40.Ck; 47.70.−n; 47.52.+j.-- Printed version published Sep 1, 2003.-- ArXiv pre-print available at: http://arxiv.org/abs/nlin/0302040 Contributed to: XIIIth Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics (Colonia del Sacramento, Uruguay, Dec 9-13, 2002). |
Publisher version (URL): | http://dx.doi.org/10.1016/S0378-4371(03)00451-5 | URI: | http://hdl.handle.net/10261/14572 | DOI: | 10.1016/S0378-4371(03)00451-5 | ISSN: | 0378-4371 |
| Appears in Collections: | (IFISC) Artículos |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 0302040v1.pdf | 138,76 kB | Adobe PDF |  View/Open |
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