fixed-point attractor

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• Fixed point (mathematics) — Not to be confused with a stationary point where f (x) = 0. A function with three fixed points In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is a point[1] that is …   Wikipedia

• fixed point — 1. noun a) A value which is unchanged by a function or other mapping. Formally: a value x for which f(x) = x. b) A fractional number representation with a fixed number of digits after the decimal point. Compare floating point and integer. Syn:… …   Wiktionary

• 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

• attractor — noun A set of points or states to which a dynamical system evolves after a long enough time. That is, points that get close enough to the attractor remain close even if slightly disturbed. See Also: basin of attraction, fixed point …   Wiktionary

• Rössler attractor — The Rössler attractor (pronEng|ˈrɒslɚFact|date=December 2007) is the attractor for the Rössler system, a system of three non linear ordinary differential equations. These differential equations define a continuous time dynamical system that… …   Wikipedia

• Lagrangian point — The Lagrangian points (IPA en|ləˈgreɪndʒiən, IPA fr|lagʁɑ̃ʒjɑ̃; also Lagrange point, L point, or libration point), are the five positions in an orbital configuration where a small object affected only by gravity can theoretically be stationary… …   Wikipedia

• 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

• Lorenz , Edward Norton — (1917–) American meteorologist Born in West Hartford, Connecticut, Lorenz was educated at Dartmouth College, New Hampshire, at Harvard, and at the Massachusetts Institute of Technology. He joined the MIT faculty in 1946 and served as professor of …   Scientists

• 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

• Periodic points of complex quadratic mappings — This article describes periodic points of some complex quadratic map. This theory is applied in relation with the theories of Fatou and Julia sets.DefinitionsLet :f c(z)=z^2+c, where z and c are complex valued. (This f is the complex quadratic… …   Wikipedia