Project3NewThought

Here's an idea for a straightforward project that builds upon the idea for project 3 introduced the first day of class. There has been a lot of papers using and applying techniques of testing whether a system is chaotic. I don't know what the current state of the field is but the problem has been that it is difficult to tell between a chaotic system and a noisy system. Nevertheless it has been a problem that has captivated the imagination of many researchers.

The ghostburster cell exhibits chaos for some values of the parameters and not for others. Models that exhibit qualitatively different behavior for different parameters have a bifurcation structure that can be visualized with a bifurcation diagram (shown in the paper). Usually, when you change parameters, the qualitative properties of the cell (e.g. quiesient, bistable, tonically active, chaotic) don't change: for most small changes in the parameters, the resulting models are equivalent. Only at discrete values of the parameters do bifurcations (qualitative changes in the models) occur (e.g. quiesent --> tonically active).

Let's say (GTG more later...)