We present a brief description of a bifurcation of a solution curve of an equation in a Banach space. We focus on pitchfork type of bifurcations, and we present a sufficient a condition for their existence.We will discuss these ideas in a particular example, which consists in the study of equilibrium configurations of a toroidal fluid.We will finally comment on the stability of the solutions curves in a neighborhood of a bifurcation point.
Monday, May 5, 2008
11:00AM AP&M 2402
Center for Computational Mathematics9500 Gilman Dr. #0112La Jolla, CA 92093-0112Tel: (858)534-9056