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Catastrophe theory. 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 . Bifurcation theory studies and classifies phenomena characterized by sudden shifts in behavior arising from small changes in ...
Teoría de las catástrofes. Apariencia. ocultar. La superficiede la cola curva, uno de los tipos de catástrofes de la teoría. La teoría de las catástrofes es una rama de estudio de las bifurcaciones de sistemas dinámicos, también puede considerarse un caso especial de la teoría de la singularidad usada en geometría .
1 de jun. de 2022 · Catastrophe theory, a branch of nondynamic mathematics, was first proposed by Thom [1] to study phase transitions or morphogenesis. Guastello [2] defines catastrophe theory as “a special topic within the broader domain of nonlinear dynamical systems (NDS) that pertains to sudden discontinuous changes of events.”
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. Catastrophe theory is generally considered a branch of geometry because.
- The Editors of Encyclopaedia Britannica
20 de feb. de 2016 · Catastrophe theory is a mathematical theory that addresses discontinuities and qualitative changes in dynamical systems. It states that in a complex dynamical system changes could be smooth and linear, but that they could also be nonlinear, and contrary to the common sense anticipation, they might be surprisingly large even though ...
- Dimitrios Stamovlasis
- stadi@edlit.auth.gr
- 2016
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.
Catastrophe theory can be thought of as a link between classical analysis, dynamical systems, differential topology (including singularity theory), modern bifurcation theory and the theory of complex systems. It was founded by the French mathematician René Thom (1923–2002) in the sixties of the last century.
