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A primer on pitchfork bifurcation

Gabriel Nagy
Mathematics Department, UCSD


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