เปรียบเทียบวิธี

	การวิเคราะห์แฟร็กทัล	การวิเคราะห์ปริมาณการเกิดซ้ำ (Recurrence Quantification Analysis - RQA)
สาขาวิชา	ระบบเชิงซ้อน	ระบบเชิงซ้อน
ตระกูล	Machine learning	Machine learning
ปีกำเนิด	1983	2007
ผู้ริเริ่ม	Benoit Mandelbrot	Marwan, Romano, Thiel & Kurths
ประเภท	Geometric complexity quantification	Nonlinear time-series characterization
แหล่งต้นตำรับ	Mandelbrot, B. B. (1983). The Fractal Geometry of Nature. W. H. Freeman. ISBN: 978-0-7167-1186-5	Marwan, N., Romano, M. C., Thiel, M., & Kurths, J. (2007). Recurrence plots for the analysis of complex systems. Physics Reports, 438(5–6), 237–329.
ชื่อเรียกอื่น	Box-Counting Analysis, Fractal Dimension Estimation, Multifractal Analysis, Fraktal Analiz	RQA, Recurrence Plot Analysis, Nonlinear Recurrence Analysis, Tekrarlama Kantifikasyon Analizi
ที่เกี่ยวข้อง	2	2
สรุป	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.	Recurrence Quantification Analysis (RQA) is a nonlinear method for characterizing the dynamics of a time series by quantifying the small-scale structure of its recurrence plot. Introduced in its modern, comprehensive form by Marwan, Romano, Thiel, and Kurths in 2007, RQA extracts scalar measures — such as recurrence rate, determinism, laminarity, and Shannon entropy — that capture periodicity, chaos, stationarity, and transitions in complex dynamical systems.