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catastrophe theory

   Also found in: Encyclopedia, Wikipedia, Hutchinson 0.04 sec.
catastrophe theory
the mathematical basis for the study of large changes in a total system which may result from small changes in a critical variable in the system.

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Can catastrophe theory explain the properties of school reform as well as the dynamics of physical systems?
Finally, the third component of the methodology of qualitative analysis of BMS is comprised of mathematical methods of catastrophe theory that make it possible, on the basis of a derived family of potential functions to construct the sought for critical set (separatrix) in the space of controlling parameters and describe the diversity of qualitative changes occurring in a system when we adjust controlling parameters.
During the post 30 years, the author asserts, three theories relevant to the question have emerged: catastrophe theory, chaos theory, and complexity theory.
 
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