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pitchfork bifurcation

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  • Pitchfork bifurcation — In bifurcation theory, a field within mathematics, a pitchfork bifurcation is a particular type of local bifurcation. Pitchfork bifurcations, like Hopf bifurcations have two types supercritical or subcritical. In flows, that is, continuous… …   Wikipedia

  • Bifurcation theory — is the mathematical study of changes in the qualitative or topological structure of a given family. Examples of such families are the integral curves of a family of vector fields or, the solutions of a family of differential equations. Most… …   Wikipedia

  • Bifurcation diagram — In mathematics, particularly in dynamical systems, a bifurcation diagram shows the possible long term values (equilibria/fixed points or periodic orbits) of a system as a function of a bifurcation parameter in the system. It is usual to represent …   Wikipedia

  • Saddle-node bifurcation — In the mathematical area of bifurcation theory a saddle node bifurcation or tangential bifurcation is a local bifurcation in which two fixed points (or equilibria) of a dynamical system collide and annihilate each other. The term saddle node… …   Wikipedia

  • Catastrophe theory — This article refers to the study of dynamical systems. For other meanings, see catastrophe. 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… …   Wikipedia

  • Supercritical — may refer to:* Critical mass, the smallest amount of fissile material needed for a sustained nuclear chain reaction * Critical temperature, Tc, the temperature above which distinct liquid and gas phases do not exist * Supercritical fluid, a… …   Wikipedia

  • List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …   Wikipedia

  • Bicycle and motorcycle dynamics — A computer generated, simplified model of bike and rider demonstrating an uncontrolled right turn. An …   Wikipedia

  • Katastrophentheorie (Mathematik) — Die mathematische Katastrophentheorie beschäftigt sich mit unstetigen, sprunghaften Veränderungen von bestimmten dynamischen Systemen. Diese können, auch wenn sie unter bestimmten Voraussetzungen einen stabilen Zustand anstreben, bei Änderungen… …   Deutsch Wikipedia

  • Manipur University — Established June 5, 1980 Type Public Vice Chancellor Prof H Nandakumar [1] …   Wikipedia

  • Théorie des bifurcations — La théorie des bifurcations, en mathématiques et en physique est l étude des systèmes dynamiques. Une bifurcation intervient lorsqu un petit changement d un paramètre physique produit un changement majeur dans l organisation du système. Sommaire… …   Wikipédia en Français

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