The fractal tapestry of life: III multifractals entail the fractional calculus

BJ West - Fractal and Fractional, 2022 - mdpi.com
This is the third essay advocating the use the (non-integer) fractional calculus (FC) to
capture the dynamics of complex networks in the twilight of the Newtonian era. Herein, the …

Effects of missing data on characterization of complex dynamics from time series

ON Pavlova, AS Abdurashitov, MV Ulanova… - … in Nonlinear Science …, 2019 - Elsevier
Experimental time series often contain bad segments that arise from artifacts, changes in
experimental conditions, or failures in recording equipment. Such segments are usually …

Extended detrended cross-correlation analysis of nonstationary processes

AN Pavlov, ON Pavlova, AA Koronovskii Jr… - Chaos, Solitons & …, 2022 - Elsevier
We propose an extension of the detrended cross-correlation analysis (DCCA) for signals
with highly inhomogeneous structure. The proposed approach evaluates two scaling …

Characterizing scaling properties of complex signals with missed data segments using the multifractal analysis

AN Pavlov, ON Pavlova, AS Abdurashitov… - … Journal of Nonlinear …, 2018 - pubs.aip.org
The scaling properties of complex processes may be highly influenced by the presence of
various artifacts in experimental recordings. Their removal produces changes in the …

Enhanced multiresolution wavelet analysis of cerebrovascular dynamics

AN Pavlov, ON Pavlova - Chaos, Solitons & Fractals, 2021 - Elsevier
The responses of cerebral circulation to an abrupt increase in blood pressure caused by
pharmacologically induced hypertension are compared by means of multiresolution wavelet …

Multifractal processes: Definition, properties and new examples

D Grahovac - Chaos, Solitons & Fractals, 2020 - Elsevier
We investigate stochastic processes possessing scale invariance properties which we refer
to as multifractal processes. The examples of such processes known so far do not go much …

Characterization of cerebral blood flow dynamics with multiscale entropy

AN Pavlov, AS Abdurashitov, ON Pavlova… - Journal of Innovative …, 2017 - World Scientific
Based on the laser speckle contrast imaging (LSCI) and the multiscale entropy (MSE), we
study in this work the blood flow dynamics at the levels of cerebral veins and the …

Multifractal spectrum of physiological signals: a mechanism-related approach

AN Pavlov, ON Pavlova… - … Fall Meeting 2016 …, 2017 - spiedigitallibrary.org
In this paper we discuss an approach for mechanism-related analysis of physiological
signals performed with the wavelet-based multifractal formalism. This approach assumes …

Synchronization of cerebral and peripheral blood flow at the latent stage of stroke

ON Pavlova, AS Abdurashitov, AV Terskov… - … Journal of Modern …, 2020 - World Scientific
Synchronization between cerebral and peripheral circulation at the pre-stroke stage is
discussed in newborn rats using a model of stress-induced hemorrhagic stroke. It is …