Results 41 to 50 of about 58,987 (131)

Investigating Stress During a Virtual Reality Game Through Fractal and Multifractal Analysis of Heart Rate Variability

Applied System Innovation
This article presents the process of creating a virtual reality (VR) game designed to assess the impact of stress on heart rate variability (HRV). The game features dynamic and challenging scenarios to induce stress responses, incorporating advanced 3D ...
Penio Lebamovski, Evgeniya Gospodinova
doaj   +1 more source

On Product Neutrosophic Fractal Spaces and α-Density Theory with Arbitrarily Small and Controlled Error

Fractal and Fractional
In this manuscript, we present the classical Hutchinson–Barnsley theory on the product neutrosophic fractal spaces by utilizing an iterated function system, which is enclosed by neutrosophic Edelstein contractions and a finite number of neutrosophic b ...
Khaleel Ahmad, Umar Ishtiaq, Ghulam Murtaza, Ioan-Lucian Popa, Fethi Mohamed Maiz   +4 more
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Minkowski dimension and explicit tube formulas for $p$-adic fractal strings

, 2018
The local theory of complex dimensions describes the oscillations in the geometry (spectra and dynamics) of fractal strings. Such geometric oscillations can be seen most clearly in the explicit volume formula for the tubular neighborhoods of a $p$-adic ...
Hùng, Lũ', Lapidus, Michel L., van Frankenhuijsen, Machiel   +2 more
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Moments of the weighted Cantor measures

Demonstratio Mathematica, 2019
Based on the seminal work of Hutchinson, we investigate properties of α-weighted Cantor measures whose support is a fractal contained in the unit interval.
Harding Steven N., Riasanovsky Alexander W. N.   +1 more
doaj   +1 more source

A Fast DFA Algorithm for Multifractal Multiscale Analysis of Physiological Time Series

Frontiers in Physiology, 2019
Detrended fluctuation analysis (DFA) is a popular tool in physiological and medical studies for estimating the self-similarity coefficient, α, of time series. Recent researches extended its use for evaluating multifractality (where α is a function of the
Paolo Castiglioni, Andrea Faini
doaj   +1 more source

Random fractal strings: their zeta functions, complex dimensions and spectral asymptotics [PDF]

, 2003
In this paper a string is a sequence of positive non-increasing real numbers which sums to one. For our purposes a fractal string is a string formed from the lengths of removed sub-intervals created by a recursive decomposition of the unit interval.
Hambly, B. M., Lapidus, M. L.
core  

Transport and Elastic Properties of Fractal Media

, 2000
We investigate the influence of fractal structure on material properties. We calculate the statistical correlation functions of fractal media defined by level-cut Gaussian random fields.
Adler, Anthony P. Roberts, Avnir, Bale, Bartoli, Beran, Beran, Berk, Berk, Bremer, Brown, Hasmy, Kantor, Knackstedt, Kolb, Korvin, Lu, Mark A. Knackstedt, McCoy, Meakin, Milton, Milton, Milton, Roberts, Roberts, Roberts, Sahimi, Schaefer, Schmidt, Schwartz, Smirnov, Su, Teubner, Torquato, Wong, zen Wong   +35 more
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Scaling analyses based on wavelet transforms for the Talbot effect

, 2013
The fractal properties of the transverse Talbot images are analysed with two well-known scaling methods, the wavelet transform modulus maxima (WTMM) and the wavelet transform multifractal detrended fluctuation analysis (WT-MFDFA).
Ludu, A., Murguia, J. S., Rosu, H. C.
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Structure function of passive scalars in two-dimensional turbulence

, 1999
The structure function of a scalar $\theta({\bf x},t)$, passively advected in a two-dimensional turbulent flow ${\bf u}({\bf x},t)$, is discussed by means of the fractal dimension $\delta^{(1)}_g$ of the passive scalar graph. A relation between $\delta^{(
Eckhardt, Bruno, Schumacher, Joerg
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The fractal distribution of haloes

, 2005
We examine the proposal that a model of the large-scale matter distribution consisting of randomly placed haloes with power-law profile, as opposed to a fractal model, can account for the observed power-law galaxy-galaxy correlations.
Balian R., Borgani S., Colombi S., Falconer K., Gurbatov S. N., J Gaite, Mo H. J., Murante G., Peebles P. J. E., Sheth R. K., Valageas P., Vergassola M.   +11 more
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