Attractor — For other uses, see Attractor (disambiguation). Visual representation of a strange attractor An attractor is a set towards which a dynamical system evolves over time. That is, points that get close enough to the attractor remain close even if… … Wikipedia
Stable manifold — In mathematics, and in particular the study of dynamical systems, the idea of stable and unstable sets or stable and unstable manifolds give a formal mathematical definition to the general notions embodied in the idea of an attractor or repellor … Wikipedia
Stable set — The term stable set may refer to:* The independent set in graph theory, the set of vertices of a graph not directly connected by edges. * The stable set in dynamical systems, the set of points leading up to an attractor. * The stable set (also… … Wikipedia
point attractor — In non linear dynamics, an attractor where all orbits in phase space are drawn to one point, or value. Essentially, any system which tends to a stable, single valued equilibrium will have a point attractor. A pendulum which is damped by friction… … Financial and business terms
strange attractor — Physics. a stable, nonperiodic state or behavior exhibited by some dynamic systems, esp. turbulent ones, that can be represented as a nonrepeating pattern in the system s phase space. * * * … Universalium
Competitive Lotka–Volterra equations — The competitive Lotka–Volterra equations are a simple model of the population dynamics of species competing for some common resource. They can be further generalised to include trophic interactions. Contents 1 Overview 1.1 Two species 1.2 N… … 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
Hénon map — The Hénon map is a discrete time dynamical system. It is one of the most studied examples of dynamical systems that exhibit chaotic behavior. The Hénon map takes a point ( x , y ) in the plane and maps it to a new point :x {n+1} = y n+1 a x… … Wikipedia
Chaos theory — This article is about chaos theory in Mathematics. For other uses of Chaos theory, see Chaos Theory (disambiguation). For other uses of Chaos, see Chaos (disambiguation). A plot of the Lorenz attractor for values r = 28, σ = 10, b = 8/3 … Wikipedia
Stability theory — In mathematics, stability theory deals with the stability of solutions (or sets of solutions) for differential equations and dynamical systems. Definition Let (R, X, Φ) be a real dynamical system with R the real numbers, X a locally compact… … Wikipedia
