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Michael Esch ACF Abstract FY13

Some Applications of Bifurcations in Chemistry, Biology and Engineering

Mathfest 2012

The mathematical concept of bifurcations has widespread applications in Engineering and  the applied sciences such as Chemistry and Biology. It is especially useful in predicting how dynamical systems which commonly arise in real-life applications evolve with time. In this talk, we perform an in-depth analysis of the mathematical concepts behind some common applications of bifurcations in Chemistry, Biology and Engineering. In particular, we apply analytical techniques such as linearized stability analysis of equilibrium points and geometrical techniques where such analytical techniques fail to understand why the real-life outcomes of such applications appear as they do.