title: Zigzag and varicose instabilities of a localized stripe.
abstract: 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.
authors.affiliation: Department of Physics, University of California at Berkeley, Berkeley, California 94720.
authors.forename: P.
authors.initials: P
authors.lastname: Hirschberg
authors.forename: E.
authors.initials: E
authors.lastname: Knobloch