attractor fractal dimension

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• Fractal dimension — In fractal geometry, the fractal dimension, D , is a statistical quantity that gives an indication of how completely a fractal appears to fill space, as one zooms down to finer and finer scales. There are many specific definitions of fractal… …   Wikipedia

• Fractal — A fractal is generally a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced size copy of the whole, [cite book last = Mandelbrot first = B.B. title = The Fractal Geometry of… …   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

• Liste de fractales par dimension de Hausdorff — Cet article est une liste de fractales, ordonnées par dimension de Hausdorff croissante. En mathématiques, une fractale est un ensemble dont la dimension de Hausdorff (notée δ) est strictement supérieure à la dimension topologique[1]. Sommaire 1… …   Wikipédia en Français

• Liste De Fractales Par Dimension De Hausdorff — Cet article est une liste de fractales, ordonnées par dimension de Hausdorff croissante. En mathématiques, une fractale est un ensemble dont la dimension de Hausdorff (notée δ) est strictement supérieure à la dimension topologique[1]. Sommaire 1… …   Wikipédia en Français

• Liste de fractales par dimension de hausdorff — Cet article est une liste de fractales, ordonnées par dimension de Hausdorff croissante. En mathématiques, une fractale est un ensemble dont la dimension de Hausdorff (notée δ) est strictement supérieure à la dimension topologique[1]. Sommaire 1… …   Wikipédia en Français

• Correlation dimension — In chaos theory, the correlation dimension (denoted by ν) is a measure of the dimensionality of the space occupied by a set of random points, often referred to as a type of fractal dimension.[1][2][3] For example, if we have a set of random… …   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

• List of fractal topics — This is a list of fractal topics, by Wikipedia page, See also list of dynamical systems and differential equations topics.*1/f noise *Apollonian gasket *Attractor *Box counting dimension *Cantor distribution *Cantor dust *Cantor function *Cantor… …   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