catastrophe theory


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Related to catastrophe theory: Chaos theory

catastrophe theory

n
(Mathematics)
a. a mathematical theory that classifies surfaces according to their form
b. the popular application of this theory to the explanation of abruptly changing phenomena, as by the discontinuity of a line on the topmost fold of a folded surface
References in periodicals archive ?
Ten artists will join forces on Friday at the Nicosia Municipal Arts Centre for the opening of their group exhibition entitled The Presence of Absence, or the Catastrophe Theory.
Catastrophe theory was first put forward by the French scholar Rene Thom in 1972, and the application foundation of catastrophe theory, singularity theory and topology, was given in his book "Structural Stability and Morphogenesis"--Based on the mutation type of the critical points of potential functions, it explores the inherent mechanism of the discontinuous sudden change of potential function at different critical points by topological method.
The author has organized the main body of his text in fourteen chapters devoted to cellular automata and spatial diffusion models, artificial neural networks, ant colony optimization, organization and organizational theory, self-organization, intelligence principles, agent-based modeling, catastrophe theory and methods, fish and particle swarm optimization, and many other related subjects.
In order to determine the maximum flattened Brazilian disc coefficient, cusp catastrophe theory [31-37] was adopted.
Complexity sciences include different theoretical approaches: non-equilibrium thermodynamics, chaos theory, fractal geometry, catastrophe theory, non-classical logics, artificial life science, and networks science.
As a mathematical model characterized by dialectic and simple construction, catastrophe theory (CT) generally applies to systems that may respond to continuous changes in control variables through a discontinuous change from one equilibrium state to another.
In fact, in the letter to the mathematician and creator of catastrophe theory Rene Thom that appears as the second paper in the volume, Toussaint himself underlines certain parallelisms between some of the mathematician's proposals and his linguistic model.
The Toba catastrophe theory relating to this eruption suggests the event caused a decade-long global volcanic winter that was possibly followed by 1,000 years of cooling.
To expand knowledge of the methods available, international contributors discuss the latest statistical analysis tools including catastrophe theory models, random coefficient models, nonlinear growth models, social network analysis, latent class analysis, and data mining techniques.
The pattern of characteristics respects the particularities of chaos theory and catastrophe theory of Complexity Science, a fact which leads to the idea that it is possible to forecast the sports results for a certain athlete if his or her training program matches the psychomotor performances of an individual.
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.