Question

Read the following passage on the Catastrophe Theory downloaded from the Internet.

Originated by the French mathematician, Rene Thom, in the 1960s, catastrophe theory is a special branch of dynamical systems theory. It studies and classifies phenomena characterised by sudden shifts in behaviour arising from small changes in circumstances. Catastrophes are bifurcations between different equilibria, or fixed point attractors. Due to their restricted nature, catastrophes can be classified on the basis of how many control parameters are being simultaneously varied. For example, if there are two controls, then one finds the most common type, called a ‘cusp’ catastrophe. If, however, there are more than five controls, there is no classification. Catastrophe theory has been applied to a number of different phenomena, such as the stability of ships at sea and their capsizing, bridge collapse, and, with some less convincing success, the fight-or-flight behaviour of animals and prison riots.

Answer 1

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