Results 11 to 20 of about 22,343 (210)

Multifractal analysis for nutritional assessment. [PDF]

PLoS ONE, 2013
The concept of multifractality is currently used to describe self-similar and complex scaling properties observed in numerous biological signals. Fractals are geometric objects or dynamic variations which exhibit some degree of similarity (irregularity ...
Youngja Park, Kichun Lee, Thomas R Ziegler, Greg S Martin, Gautam Hebbar, Brani Vidakovic, Dean P Jones   +6 more
doaj   +5 more sources

Multifractal Analysis of inhomogeneous Bernoulli products [PDF]

Journal of Statistical Physics, 2011
We are interested to the multifractal analysis of inhomogeneous Bernoulli products which are also known as coin tossing measures. We give conditions ensuring the validity of the multifractal formalism for such measures.
A. Batakis, A. Bisbas, A. Rényi, A.H. Fan, Athanasios Batakis, B. Testud, B. Testud, B.B. Mandelbrot, Benoît Testud, D. Rand, D. Ruelle, D.J. Feng, F. BenNasr, F. BenNasr, G. Brown, G. Michon, H. Hentschel, K. Falconer, K.S. Lau, L. Olsen, P. Billingsley, P. Collet, P. Grassberger, P. Grassberger, P. Meakin, R. Benzi, R. Bowen, R. Cawley, R. Riedi, T.C. Halsey, U. Frisch, Y. Heurteaux, Y.L. Ye   +32 more
core   +7 more sources

Multifractal analysis of mass function. [PDF]

Soft comput, 2023
In order to explore the fractal characteristic in Dempster-Shafer evidence theory, a fractal dimension of mass function is proposed recently, to reveal the invariance of scale of belief entropy. When mass function degenerates to probability, the fractal dimension is equivalent to classical Renyi information dimension only with α=1, which can measure ...
Qiang C, Li Z, Deng Y.
europepmc   +3 more sources

MULTIFRACTAL CROSS WAVELET ANALYSIS [PDF]

Fractals, 2017
Complex systems are composed of mutually interacting components and the output values of these components usually exhibit long-range cross-correlations. Using wavelet analysis, we propose a method of characterizing the joint multifractal nature of these long-range cross correlations, a method we call multifractal cross wavelet analysis (MFXWT).
ZHI-QIANG JIANG, XING-LU GAO, WEI-XING ZHOU, H. EUGENE STANLEY   +3 more
openaire   +2 more sources

Multifractal analysis of solar flare indices and their horizontal visibility graphs [PDF]

Nonlinear Processes in Geophysics, 2012
The multifractal properties of the daily solar X-ray brightness, X_<i>l</i> and X_<i>s</i>, during the period from 1 January 1986 to 31 December 2007 which includes two solar cycles are ...
Z. G. Yu, V. Anh, R. Eastes, D.-L. Wang
doaj   +1 more source

Multifractal Characteristics Analysis Based on Slope Distribution Probability in the Yellow River Basin, China

ISPRS International Journal of Geo-Information, 2021
Multifractal theory provides a reliable method for the scientific quantification of the geomorphological features of basins. However, most of the existing research has investigated small and medium-sized basins rather than complex and large basins.
Zilong Qin, Jinxin Wang, Yan Lu
doaj   +1 more source

Multifractal analysis of model fractal and multifractal signals

Radiotekhnika, 2022
One of the topical directions of modern fractal radio physics is the multifractal analysis of signals and processes of various origins. A set of deterministic and stochastic models of monofractal and multifractal signals and processes in the time domain is proposed.
O.V. Lazorenko, A.A. Onishchenko, L.F. Chernogor   +2 more
openaire   +3 more sources

The Role of Information in Managing Interactions from a Multifractal Perspective

Entropy, 2021
In the framework of the multifractal hydrodynamic model, the correlations informational entropy–cross-entropy manages attractive and repulsive interactions through a multifractal specific potential.
Maricel Agop, Stefan Andrei Irimiciuc, Adrian Ghenadi, Luminita Bibire, Stefan Toma, Tudor-Cristian Petrescu, Dorin Vaideanu, Cristina Marcela Rusu, Alina Gavrilut, Decebal Vasincu   +9 more
doaj   +1 more source

Multifractal detrended fluctuation analysis of human EEG: preliminary investigation and comparison with the wavelet transform modulus maxima technique.

PLoS ONE, 2013
Recently, many lines of investigation in neuroscience and statistical physics have converged to raise the hypothesis that the underlying pattern of neuronal activation which results in electroencephalography (EEG) signals is nonlinear, with self-affine ...
Todd Zorick, Mark A Mandelkern
doaj   +1 more source

Multifractal detrended fluctuation analysis of nonstationary time series [PDF]

, 2002
We develop a method for the multifractal characterization of nonstationary time series, which is based on a generalization of the detrended fluctuation analysis (DFA).
Alados, Amaral, Armin Bunde, Arneodo, Arneodo, Arneodo, Arneodo, Arneodo, Ashkenazy, Ashkenazy, Bacry, Bahar, Barabási, Blesic, Buldyrev, Buldyrev, Bunde, Chen, Eva Koscielny-Bunde, Feder, H.Eugene Stanley, Hausdorff, Hu, Ivanov, Ivanov, Ivanova, Ivanova, Jaffard, Jan W. Kantelhardt, Kantelhardt, Kantelhardt, Koscielny-Bunde, Liu, Makse, Malamud, Mantegna, Muzy, Muzy, Nakao, Ossadnik, Peitgen, Peng, Peng, Shlesinger, Shlomo Havlin, Silchenko, Stephan A. Zschiegner, Talkner, Taqqu, Vandewalle, Vandewalle   +50 more
core   +2 more sources