periodic attractor

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• 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

• 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

• 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

• Lorenz attractor — The Lorenz attractor, named for Edward N. Lorenz, is a 3 dimensional structure corresponding to the long term behavior of a chaotic flow, noted for its butterfly shape. The map shows how the state of a dynamical system (the three variables of a… …   Wikipedia

• strange attractor — An attractor in phase space, where the points never repeat themselves, and orbits never intersect, but they stay within the same region of phase space. Unlike limit cycles or point attractors, strange attractors are non periodic, and generally… …   Financial and business terms

• 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

• 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

• Dynamical system — This article is about the general aspects of dynamical systems. For technical details, see Dynamical system (definition). For the study, see Dynamical systems theory. Dynamical redirects here. For other uses, see Dynamics (disambiguation). The… …   Wikipedia

• Cybernetical physics — is a scientific area on the border of Cybernetics and Physics which studies physical systems with cybernetics methods. Cybernetics methods are understood as methods developed within control theory, information theory, systems theory and related… …   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

• Poincaré–Bendixson theorem — In mathematics, the Poincaré–Bendixson theorem is a statement about the long term behaviour of orbits of continuous dynamical systems on the plane. Overview The Poincaré–Bendixson theorem states that any orbit which stays in a compact region of… …   Wikipedia