What does bifurcation theory mean?

Definitions for bifurcation theory
bi·fur·ca·tion the·o·ry

This dictionary definitions page includes all the possible meanings, example usage and translations of the word bifurcation theory.

Wiktionary

  1. bifurcation theorynoun

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

Wikipedia

  1. Bifurcation theory

    Bifurcation theory is the mathematical study of changes in the qualitative or topological structure of a given family of curves, 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 (the bifurcation parameters) of a system causes a sudden 'qualitative' or topological change in its behavior. Bifurcations occur in both continuous systems (described by ordinary, delay or partial differential equations) and discrete systems (described by maps). The name "bifurcation" was first introduced by Henri Poincaré in 1885 in the first paper in mathematics showing such a behavior. Henri Poincaré also later named various types of stationary points and classified them with motif.

Wikidata

  1. 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 such a behavior. Henri Poincaré also later named various types of stationary points and classified them.

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Numerology

  1. Chaldean Numerology

    The numerical value of bifurcation theory in Chaldean Numerology is: 1

  2. Pythagorean Numerology

    The numerical value of bifurcation theory in Pythagorean Numerology is: 2

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"bifurcation theory." Definitions.net. STANDS4 LLC, 2024. Web. 16 Apr. 2024. <https://www.definitions.net/definition/bifurcation+theory>.

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