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A three-scale model of spatio-temporal bursting

Franci, A and Sepulchre, R (2016) A three-scale model of spatio-temporal bursting. SIAM Journal on Applied Dynamical Systems, 15. pp. 2143-2175.

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© 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.

Item Type: Article
Uncontrolled Keywords: spatio-temporal bursting reaction dffusion singularity theory geometric singular perturbation theory
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:19
Last Modified: 17 Aug 2021 08:33
DOI: 10.1137/15M1046101