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Sebepořádaná kritičnost×Fraktální analýza×
OborKomplexní systémyKomplexní systémy
RodinaRegression modelMachine learning
Rok vzniku19871983
TvůrcePer Bak, Chao Tang & Kurt WiesenfeldBenoit Mandelbrot
TypDynamical systems modelGeometric complexity quantification
Původní zdrojBak, P., Tang, C., & Wiesenfeld, K. (1987). Self-organized criticality: An explanation of 1/f noise. Physical Review Letters, 59(4), 381–384. DOI ↗Mandelbrot, B. B. (1983). The Fractal Geometry of Nature. W. H. Freeman. ISBN: 978-0-7167-1186-5
Další názvySOC, Sandpile Model, Critical Self-Organization, Kendiliğinden Örgütlenen KritiklikBox-Counting Analysis, Fractal Dimension Estimation, Multifractal Analysis, Fraktal Analiz
Příbuzné32
ShrnutíSelf-Organized Criticality (SOC) is a dynamical systems framework introduced by Per Bak, Chao Tang, and Kurt Wiesenfeld in 1987 to explain how large, dissipative systems spontaneously evolve toward a critical state without external fine-tuning. At the critical state, the system produces scale-invariant fluctuations — avalanches whose size and duration follow power-law distributions — and generates 1/f (pink) noise in its power spectrum.Fractal Analysis quantifies the self-similar, scale-invariant complexity of geometric objects and time series through the fractal dimension D and the Hurst exponent H. Introduced systematically by Benoit Mandelbrot in his 1983 landmark work, the framework extends classical Euclidean geometry to irregular shapes found in nature, finance, physiology, and materials science. It provides a single dimensionless index that captures how completely a pattern fills space across multiple scales.
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ScholarGatePorovnat metody: Self-Organized Criticality · Fractal Analysis. Získáno 2026-06-18 z https://scholargate.app/cs/compare