BIFURCATIONTHEORY

Bifurcation theory

Bifurcation theory is the mathematical study of changes in the qualitative or topological structure of a given family, such as the integral curves of a family of vector fields, and the solutions of a family of differential equations. Most commonly applied to the mathematical study of dynamical systems, a bifurcation occurs when a small smooth change made to the parameter values of a system causes a sudden 'qualitative' or topological change in its behaviour. Bifurcations occur in both continuous systems, and discrete systems . The name "bifurcation" was first introduced by Henri Poincaré in 1885 in the first paper in mathematics showing ...

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bifurcation theory

Noun

  1. A branch of mathematics concerned with dynamical systems which suffer sudden qualitative changes from an infinitesimal change in a parameter.


The above text is a snippet from Wiktionary: bifurcation theory
and as such is available under the Creative Commons Attribution/Share-Alike License.

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