catastrophe theory (redirected from Catastrophy)

catastrophe theory

Branch of mathematics (considered a branch of geometry) that explores how gradual changes to a system produce sudden, drastic results (though usually not as dire as the name suggests). A simple example is how a plastic coffee stirrer subjected to gradually increasing pressure from both ends will suddenly buckle in one direction or another. Other “catastrophes” include optical phenomena such as reflection or refraction of light through moving water. More speculatively, ideas from catastrophe theory have been applied by social scientists to such situations as the sudden eruption of mob violence.

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catastrophe theory [kə′tas·trə·fē ‚thē·ə·rē]

(mathematics)

A theory of mathematical structure in which smooth continuous inputs lead to discontinuous responses.