An introductions to Auto: Software for Bifurcation analysis
David Simpson
Applied Mathematics
University of Colorado, Boulder
Mathematical models often consist of non-linear ODE's and many times direct
numerical integration reveals only a small part of the interesting dynamical
behavior. In this talk, I will give a brief introduction to AUTO - software
which can continue bifurcations in parameter space and essentially draw
bifurcation diagrams. As an example, I will use a model of calcium waves in
pancreatic acinar cells that I researched last year as part of a Master's degree
at The University of Auckland.