saddle-node bifurcation

saddle-node bifurcation
тангенциальная бифуркация, бифуркация типа "седло-узел"

English-russian dictionary of physics. 2013.

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  • 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

  • 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

  • Bogdanov-Takens bifurcation — In bifurcation theory, a field within mathematics, a Bogdanov Takens bifurcation is a well studied example of a bifurcation with co dimension two, meaning that two parameters must be varied for the bifurcation to occur. It is named after R. I.… …   Wikipedia

  • Numerical continuation — is a method of computing approximate solutions of a system of parameterized nonlinear equations, The parameter λ is usually a real scalar, and the solution an n vector. For a fixed parameter value λ,, maps Euclidean n space into itself. Often the …   Wikipedia

  • List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

  • Tipping point (sociology) — In sociology, a tipping point or angle of repose is the event of a previously rare phenomenon becoming rapidly and dramatically more common. The phrase was coined in its sociological use by Morton Grodzins, by analogy with the fact in physics… …   Wikipedia

  • Седлоузловая бифуркация — В теории динамических систем, седлоузловая бифуркация локальная бифуркация, при которой пара особых точек (устойчивая и неустойчивая) сливаются в полуустойчивую особую точку (седлоузел), затем исчезающую. Единственная бифуркация, которая… …   Википедия

  • 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

  • Bifurkation (Mathematik) — Eine Bifurkation oder Verzweigung ist eine qualitative Zustandsänderung in nichtlinearen Systemen unter Einfluss eines Parameters μ. Der Begriff der Bifurkation wurde von Henri Poincaré eingeführt. Nichtlineare Systeme, deren Verhalten von einem… …   Deutsch Wikipedia

  • Mathematical and theoretical biology — is an interdisciplinary scientific research field with a range of applications in biology, medicine and biotechnology.[1] The field may be referred to as mathematical biology or biomathematics to stress the mathematical side, or as theoretical… …   Wikipedia


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