Category:Catastrophe Theory

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This category contains results about Catastrophe Theory.
Definitions specific to this category can be found in Definitions/Catastrophe Theory.

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.


It is based on the modelling of a dynamical system as a set of points in $n$-dimensional space.

It concentrates on topological classification of such sets, connecting sudden discontinuous changes (that is, "catastrophes") with changes in topology.

The theory has been applied to many fields, such as sociology, economics, engineering and linguistics.

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