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global saddle point

См. также в других словарях:

  • Stationary point — Not to be confused with a fixed point where x = f(x). Stationary points (red pluses) and inflection points (green circles). The stationary points in this graph are all relative maxima or relative minima. In mathematics, particularly in calculus,… …   Wikipedia

  • Critical point (mathematics) — See also: Critical point (set theory) The abcissae of the red circles are stationary points; the blue squares are inflection points. It s important to note that the stationary points are critical points, but the inflection points are not nor are… …   Wikipedia

  • Periodic point — In mathematics, in the study of iterated functions and dynamical systems, a periodic point of a function is a point which returns to itself after a certain number of function iterations or a certain amount of time. Iterated functions Given an… …   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

  • Maxima and minima — For other uses, see Maxima (disambiguation) and Maximum (disambiguation). For use in statistics, see Maximum (statistics). Local and global maxima and minima for cos(3πx)/x, 0.1≤x≤1.1 In mathematics, the maximum and minimum (plural: maxima and… …   Wikipedia

  • Mathematical optimization — For other uses, see Optimization (disambiguation). The maximum of a paraboloid (red dot) In mathematics, computational science, or management science, mathematical optimization (alternatively, optimization or mathematical programming) refers to… …   Wikipedia

  • Optimization (mathematics) — In mathematics, the term optimization, or mathematical programming, refers to the study of problems in which one seeks to minimize or maximize a real function by systematically choosing the values of real or integer variables from within an… …   Wikipedia

  • Andronov-Pontryagin criterion — The Andronov–Pontryagin criterion is a necessary and sufficient condition for the stability of dynamical systems in the plane. It was derived by Aleksandr Andronov and Lev Pontryagin in 1937.tatementA vector field dot{x} = v(x) with xin… …   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

  • Homoclinic bifurcation — In mathematics, a homoclinic bifurcation is a global bifurcation which often occurs when a periodic orbit collides with a saddle point.The image below shows a phase portrait before, at, and after a homoclinic bifurcation in 2D. The periodic orbit …   Wikipedia

  • Lagrange multipliers — In mathematical optimization problems, the method of Lagrange multipliers, named after Joseph Louis Lagrange, is a method for finding the extrema of a function of several variables subject to one or more constraints; it is the basic tool in… …   Wikipedia

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