catastrophe theory


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Related to catastrophe theory: Chaos theory

catastrophe theory

a branch of mathematics that deals with large changes in the total system resulting from small changes in a critical variable in the system; some epidemics, gene frequencies, and the social behavior of populations may be explained by this theory.
References in periodicals archive ?
Chen, "Ultimate bearing capacity analysis of a super-long rock-socketed filling pile based on catastrophe theory," Advances in Structural Engineering, vol.
Scott, "Catastrophe theory applications in clinical psychology: A review," Current Psychology, vol.
According to the requirement of catastrophe theory, before the analysis and evaluation, the normalized function formula should be used to change the heterogeneous variables into homogeneous variables and the data should be normalized to a dimensionless value between o and 1.
Khademian H.1988, Catastrophe theory: an application to a business cycle model.Mathl Comput M- odelling 10(4):257-262.
The applied catastrophe theory to the study of the free energy potential of FLC provided a detailed mathematical description of how the geometry of the energy functional varies with the control parameters.
Traffic nonlinear system has been studied by a vast variety of microscopic and macroscopic methods, besides catastrophe theory and chaos theory.
Conducting the paleontological equivalent of crime scene investigations on the bonebed, its fossil specimens and the surrounding geological data, Pyenson and his colleagues Randall Irmis and Jere Lipps were able to disprove the one-time catastrophe theory.
Darwin also changed views on catastrophe theory - pointing out that really big events kick start really big changes.
Mathematicians familiar with catastrophe theory will recognize that these two families of functions, the cubic curves and the quartic curves, are two of the most important basic examples in that theory.
According to the Toba catastrophe theory, a supervolcanic event 75,000 years ago at Lake Toba, on Sumatra, triggered an ice age that changed the course of human history by creating a bottleneck in evolution.
Catastrophe theory was originally developed by the French mathematician Rene Thorn (1975) to model geometrically all the naturally occurring discontinuities in the world.
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