The Catastrophe Machine
There are two excellent web resources on Catastrophe Theory and on the Cusp Catastrophe in particular. One is a set of transparencies from a 1995, San Antonio lecture by E. C. Zeeman himself. Catastrophe Theory was discovered by René Thom in the 1960's. Along with his own contributions to the theory and its applications, Zeeman played St. Paul to Thom's Messiah and roamed the world as a tireless and eloquent expositor. Lucien Dujardin in Lille has a very rich and useful site Catastrophe Teacher complete with ingenious applets illustrating several "experiments" with the phenomena, including Zeeman's Catastrophe Machine. 1. What is a mathematical catastrophe?A mathematical catastrophe is a point in a model of an inputoutput system, where a vanishingly small change in the input can produce a large change in the output.
SUNY at Stony Brook

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