%0 Journal Article
%T A three-scale model of spatio-temporal bursting
%A Alessio Franci
%A Rodolphe Sepulchre
%J Mathematics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1510.08938v1