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In mathematics, catastrophe theory is a branch of bifurcation theory in the study of dynamical systems; it is also a particular special case of more general singularity theory in geometry.
Catastrophe theory is a branch of geometry that studies sudden changes in system behaviour as variables are varied. Learn about its applications to physics, optics, and social science, and its origin with René Thom.
Learn about the mathematical modeling of sudden changes in natural systems, called catastrophes, and their classification, stability and applications. Explore the history, examples and didactical aspects of catastrophe theory, founded by René Thom.
Learn about catastrophe theory, a mathematical framework that deals with discontinuous transitions between the states of a system, given smooth variation of the underlying parameters. Explore chapters and articles on catastrophe theory in ecology, geography, and human geography.
Feb 20, 2016 · This chapter reviews the history, concepts, and methods of catastrophe theory, a mathematical theory of discontinuities and qualitative changes in dynamical systems. It also discusses the applications of catastrophe theory in learning science and problem solving, and the philosophical issues of nonlinear dynamics in educational research.
Jun 20, 1996 · In the following sections we describe catastrophe theory. In particular, we describe what it is, why it exists, and how it works. Topics. Nonlinear systems, Phase transitions, Aircraft, Signal processing, Phase space methods. This content is only available via PDF. © 1996 American Institute of Physics.
The catastrophe theory is both a precursor and a parallel theory to the more popular chaos theory. It combines qualitative and quantitative mathematics to provide an easily intelligible way of modeling the two event categories.
