Complex network approaches to nonlinear time series analysis

Y Zou, RV Donner, N Marwan, JF Donges, J Kurths - Physics Reports, 2019 - Elsevier
In the last decade, there has been a growing body of literature addressing the utilization of
complex network methods for the characterization of dynamical systems based on time …

Complex network analysis of time series

ZK Gao, M Small, J Kurths - Europhysics Letters, 2017 - iopscience.iop.org
Revealing complicated behaviors from time series constitutes a fundamental problem of
continuing interest and it has attracted a great deal of attention from a wide variety of fields …

Nonlinear analysis of heart rate variability signals in meditative state: a review and perspective

B Deka, D Deka - BioMedical Engineering OnLine, 2023 - Springer
Introduction In recent times, an upsurge in the investigation related to the effects of
meditation in reconditioning various cardiovascular and psychological disorders is seen. In …

Visibility graphs for image processing

J Iacovacci, L Lacasa - IEEE transactions on pattern analysis …, 2019 - ieeexplore.ieee.org
The family of image visibility graphs (IVG/IHVGs) have been recently introduced as simple
algorithms by which scalar fields can be mapped into graphs. Here we explore the …

The application of the extended Poincaré plot in the analysis of physiological variabilities

R Satti, NUH Abid, M Bottaro, M De Rui… - Frontiers in …, 2019 - frontiersin.org
The Poincaré plot is a geometrical technique used to visualize and quantify the correlation
between two consecutive data points in a time-series. Since the dynamics of fluctuations in …

Tight-binding analysis of Si and GaAs ultrathin bodies with subatomic wave-function resolution

YP Tan, M Povolotskyi, T Kubis, TB Boykin, G Klimeck - Physical Review B, 2015 - APS
Empirical tight-binding (ETB) methods are widely used in atomistic device simulations.
Traditional ways of generating the ETB parameters rely on direct fitting to bulk experiments …

Quantitative assessment of heart rate dynamics during meditation: An ECG based study with multi-fractality and visibility graph

A Bhaduri, D Ghosh - Frontiers in physiology, 2016 - frontiersin.org
The cardiac dynamics during meditation is explored quantitatively with two chaos-based non-
linear techniques viz. multi-fractal detrended fluctuation analysis and visibility network …

Sequential visibility-graph motifs

J Iacovacci, L Lacasa - Physical Review E, 2016 - APS
Visibility algorithms transform time series into graphs and encode dynamical information in
their topology, paving the way for graph-theoretical time series analysis as well as building a …

Higuchi fractal dimension of heart rate variability during percutaneous auricular vagus nerve stimulation in healthy and diabetic subjects

RS Gomolka, S Kampusch, E Kaniusas, F Thürk… - Frontiers in …, 2018 - frontiersin.org
Analysis of heart rate variability (HRV) can be applied to assess the autonomic nervous
system (ANS) sympathetic and parasympathetic activity. Since living systems are non-linear …

[HTML][HTML] Characterization of river flow fluctuations via horizontal visibility graphs

AC Braga, LGA Alves, LS Costa, AA Ribeiro… - Physica A: Statistical …, 2016 - Elsevier
We report on a large-scale characterization of river discharges by employing the network
framework of the horizontal visibility graph. By mapping daily time series from 141 different …