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A three-scale model of spatio-temporal bursting
Authors
A Franci
R Sepulchre
Publication date
1 January 2016
Publisher
SIAM Journal on Applied Dynamical Systems
Doi
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on
arXiv
Abstract
© 2016 Society for Industrial and Applied Mathematics. We study spatio-temporal bursting in a three-scale reaction diffusion equation organized by the winged cusp singularity. For large time-scale separation the model exhibits traveling bursts, whereas for large space-scale separation the model exhibits standing bursts. Both behaviors exhibit a common singular skeleton, whose geometry is fully determined by persistent bifurcation diagrams of the winged cusp. The modulation of spatio-temporal bursting in such a model naturally translates into paths in the universal unfolding of the winged cusp.The research leading to these results has received funding from the European Research Council under the Advanced ERC Grant Agreement Switchlet 670645 and from DGAPA-Universidad Nacional Aut onoma de Mexico under the PAPIIT Grant IA105816
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oai:orbi.ulg.ac.be:2268/303244
Last time updated on 04/08/2023
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info:doi/10.1137%2F15m1046101
Last time updated on 01/04/2019