Graduate Student Colloquium
Chun-Hsiung Hsia
UIC
An introduction to dynamical bifurcation theory and its applications
Abstract: In the talk, we introduce the concepts and the machinery of
bifurcation theory. Bifurcation theory studies the qualitative changes of
the solutions for a system of equations while the control parameters of
the equations vary. In this talk, we start with algebraic equations and
ordinary differential equations to demonstrate the basic idea of
bifurcation theory. We present different types of bifurcations including
steady-state bifurcation, Hopf bifurcation and attractor bifurcation. We
will conclude this talk by showing applications.
Friday October 19, 2007 at 3:00 PM in SEO 636