A three-scale model of spatio-temporal bursting
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Franci, A
Sepulchre, Rodolphe https://orcid.org/0000-0002-7047-3124
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.
Description
Keywords
spatio-temporal bursting, reaction dffusion, singularity theory, geometric singular perturbation theory
Journal Title
SIAM Journal on Applied Dynamical Systems
Conference Name
Journal ISSN
1536-0040
1536-0040
1536-0040
Volume Title
15
Publisher
Society for Industrial and Applied Mathematics
Publisher DOI
Sponsorship
European Research Council (670645)
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.