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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.
Básicamente la teoría de las catástrofes representa la propensión de los sistemas estructuralmente estables a manifestar discontinuidad (pueden producirse cambios repentinos del comportamiento o de los resultados), divergencia (tendencia de las pequeñas divergencias a crear grandes divergencias) e histéresis (el estado depende de su historia pre...
20 de feb. de 2016 · This chapter provides a historical evolution of catastrophe theory (CT) in social sciences; a clear presentation of the related concepts, such as bifurcation, hysteresis, and behavioral attractors; and a lucid review of its applications in learning and problem solving along with theoretical and practical issues of CT modeling.
- Dimitrios Stamovlasis
- stadi@edlit.auth.gr
- 2016
catastrophe theory, in mathematics, a set of methods used to study and classify the ways in which a system can undergo sudden large changes in behaviour as one or more of the variables that control it are changed continuously.
- The Editors of Encyclopaedia Britannica
1 de jun. de 2022 · Catastrophe theory, a branch of nondynamic mathematics, was first proposed by Thom [1] to study phase transitions or morphogenesis. Catastrophe theory research has recently witnessed a distinct proliferation.
Catastrophe theory is concerned with the mathematical modeling of sudden changes – so called “catastrophes” – in the behavior of natural systems, which can appear as a consequence of continuous changes of the system parameters.
Catastrophe theory is a mathematical framework that deals with discontinuous transitions between the states of a system, given smooth variation of the underlying parameters. The term catastrophe, derived from the French in this usage, refers to the abrupt nature of the transitions, and does not necessarily bear negative connotations.
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