A three-scale model of spatio-temporal bursting
SIAM Journal on Applied Dynamical Systems
Society for Industrial and Applied Mathematics
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Franci, A., & Sepulchre, R. (2016). A three-scale model of spatio-temporal bursting. SIAM Journal on Applied Dynamical Systems, 15 (4), 2143-2175. https://doi.org/10.1137/15M1046101
© 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.
spatio-temporal bursting, reaction dffusion, singularity theory, geometric singular perturbation theory
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.
European Research Council (670645)
External DOI: https://doi.org/10.1137/15M1046101
This record's URL: https://www.repository.cam.ac.uk/handle/1810/284169