catastrophe theory


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Related to catastrophe theory: Chaos theory

catastrophe theory

[kə′tas·trə·fē ‚thē·ə·rē]
(mathematics)
A theory of mathematical structure in which smooth continuous inputs lead to discontinuous responses.
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References in periodicals archive ?
In this paper, a fault-rock system based on catastrophe theory is established.
Flay, "Catastrophe theory in social psychology: Some applications to attitudes and social behavior," Behavioral Science, vol.
The critical points of potential function f(x) gather to a balance surface based on catastrophe theory, which can be obtained from the first-order derivative of f(x):
According to catastrophe theory, there are seven types of mutation systems, but cusps, dovetail and butterfly mutations are more common.
Included within the sciences of complexity are chaos theory, catastrophe theory, non-equilibrium thermodynamics, Boolean networks and the NK model (N refers to the number of agents and K to the number of connections between them), networks science, and collective intelligence, among others.
Catastrophe theory was proposed in an attempt to rationally account for the phenomenon of discontinuous change in behaviors (outputs) resulting from continuous change in parameters (inputs) in a given system.
Zhao, "Strength reduction method to study stability of goaf overlapping roof based on catastrophe theory," Chinese Journal of Rock Mechanics and Engineering, vol.
As known, bifurcation theory and catastrophe theory are two of the best known areas in the field of dynamical systems.
This paper is to analyze traffic nonlinear characteristics by using catastrophe theory and chaos theory.
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.

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