Fractal structures and processes

Journal Article · Sat Jun 01 00:00:00 EDT 1996 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.51062· OSTI ID:385616

Bassingthwaighte, J B; Beard, D A; Percival, D B; Raymond, G M ^[1]

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1. National Simulation Resource, Department of Bioengineering, University of Washington, Seattle, Washington 98195 (United States)

Fractals and chaos are closely related. Many chaotic systems have fractal features. Fractals are self-similar or self-affine structures, which means that they look much of the same when magnified or reduced in scale over a reasonably large range of scales, at least two orders of magnitude and preferably more (Mandelbrot, 1983). The methods for estimating their fractal dimensions or their Hurst coefficients, which summarize the scaling relationships and their correlation structures, are going through a rapid evolutionary phase. Fractal measures can be regarded as providing a useful statistical measure of correlated random processes. They also provide a basis for analyzing recursive processes in biology such as the growth of arborizing networks in the circulatory system, airways, or glandular ducts. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 385616
• Report Number(s): CONF-9504196-; ISSN 0094-243X; TRN: 96:026546
• Journal Information: AIP Conference Proceedings, Vol. 376, Issue 1; Conference: Workshop on chaos and the changing nature of science and medicine, Mobile, AL (United States), 29 Apr 1995; Other Information: PBD: Jun 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FRACTALS
SCALING LAWS
STOCHASTIC PROCESSES
GEOMETRY
TIME-SERIES ANALYSIS
BROWNIAN MOVEMENT
CLOUDS
CORONARIES
CHAOTIC SYSTEMS
SELF-SIMILIAR STATES
SPECTRAL ANALYSIS
POWER SPECTRA