NEW METHOD OF STRUCTURAL FUNCTIONS FOR ANALYZING FRACTAL SCALING PROPERTIES OF NATURAL PROCESSES

Authors
NIKORA VI NIKORA OI NOEVER DA SMART GM
Citation
Vi. Nikora et al., NEW METHOD OF STRUCTURAL FUNCTIONS FOR ANALYZING FRACTAL SCALING PROPERTIES OF NATURAL PROCESSES, Journal of physics. A, mathematical and general, 27(12), 1994, pp. 120000403-120000409
Citations number
10
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
12
Year of publication
1994
Pages
120000403 - 120000409
Database
ISI
SICI code
0305-4470(1994)27:12<120000403:NMOSFF>2.0.ZU;2-P
Abstract
A method to reveal and estimate the fractal scaling properties of posi tive and negative increments in one-valued functions that describe nat ural processes is proposed. Structural functions, which were introduce d by Kolmogorov in 1941 for analysing the scaling properties of small- scale turbulence, provide the basis of the method. Examples are given to illustrate the application of the proposed method for analysing the trace of one of the coordinates of Brownian motion, simulated asymmet ric wave forms, internal waves, sand waves in one-directional streams and river turbulence.