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- Multifractal_system abstract "A multifractal system is a generalization of a fractal system in which a single exponent (the fractal dimension) is not enough to describe its dynamics; instead, a continuous spectrum of exponents (the so-called singularity spectrum) is needed.Multifractal systems are common in nature, especially geophysics. They include fully developed turbulence, stock market time series, real world scenes, the Sun’s magnetic field time series, heartbeat dynamics, human gait, and natural luminosity time series. Models have been proposed in various contexts ranging from turbulence in fluid dynamics to internet traffic, finance, image modeling, texture synthesis, meteorology, geophysics and more. The origin of multifractality in sequential (time series) data has been attributed, to mathematical convergence effects related to the central limit theorem that have as foci of convergence the family of statistical distributions known as the Tweedie exponential dispersion models as well as the geometric Tweedie models. The first convergence effect yields monofractal sequences and the second convergence effect is responsible for variation in the fractal dimension of the monofractal sequences.From a practical perspective, multifractal analysis uses the mathematical basis of multifractal theory to investigate datasets, often in conjunction with other methods of fractal analysis and lacunarity analysis. The technique entails distorting datasets extracted from patterns to generate multifractal spectra that illustrate how scaling varies over the dataset. The techniques of multifractal analysis have been applied in a variety of practical situations such as predicting earthquakes and interpreting medical images.".
- Multifractal_system thumbnail Karperien_Strange_Attractor_200.gif?width=300.
- Multifractal_system wikiPageExternalLink abstract.
- Multifractal_system wikiPageExternalLink sm88.pdf.
- Multifractal_system wikiPageExternalLink multifractal.php.
- Multifractal_system wikiPageExternalLink Wavelet-based_multifractal_analysis.
- Multifractal_system wikiPageExternalLink media.
- Multifractal_system wikiPageID "6498864".
- Multifractal_system wikiPageRevisionID "604287539".
- Multifractal_system hasPhotoCollection Multifractal_system.
- Multifractal_system subject Category:Dimension_theory.
- Multifractal_system subject Category:Fractals.
- Multifractal_system type Abstraction100002137.
- Multifractal_system type Cognition100023271.
- Multifractal_system type Form105930736.
- Multifractal_system type Fractal105931152.
- Multifractal_system type Fractals.
- Multifractal_system type PsychologicalFeature100023100.
- Multifractal_system type Structure105726345.
- Multifractal_system comment "A multifractal system is a generalization of a fractal system in which a single exponent (the fractal dimension) is not enough to describe its dynamics; instead, a continuous spectrum of exponents (the so-called singularity spectrum) is needed.Multifractal systems are common in nature, especially geophysics.".
- Multifractal_system label "Análisis multifractal".
- Multifractal_system label "Multifractal system".
- Multifractal_system label "Мультифрактал".
- Multifractal_system sameAs Análisis_multifractal.
- Multifractal_system sameAs m.0g7q89.
- Multifractal_system sameAs Q2629238.
- Multifractal_system sameAs Q2629238.
- Multifractal_system sameAs Multifractal_system.
- Multifractal_system wasDerivedFrom Multifractal_system?oldid=604287539.
- Multifractal_system depiction Karperien_Strange_Attractor_200.gif.
- Multifractal_system isPrimaryTopicOf Multifractal_system.
