Zigzag and varicose instabilities of a localized stripe.
A localized stripe solution to a reaction-diffusion equation can lose stability simultaneously to zigzag and varicose perturbations at a codimension-two point. The resulting mode interaction is described by O(2)xZ(2) equivariant amplitude equations. Stationary mixed-mode solutions are found which can undergo instabilities to breathing modes or to patterns which travel along the stripe.
Hirschberg
P.
P
Department of Physics, University of California at Berkeley, Berkeley, California 94720.
Knobloch
E.
E