  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.
