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 …

Permutation entropy and its main biomedical and econophysics applications: a review

M Zanin, L Zunino, OA Rosso, D Papo - Entropy, 2012 - mdpi.com
Entropy is a powerful tool for the analysis of time series, as it allows describing the
probability distributions of the possible state of a system, and therefore the information …

Approaching complexity by stochastic methods: From biological systems to turbulence

R Friedrich, J Peinke, M Sahimi, MRR Tabar - Physics Reports, 2011 - Elsevier
This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …

[HTML][HTML] Nonlinear dynamics of cardiovascular ageing

Y Shiogai, A Stefanovska, PVE McClintock - Physics reports, 2010 - Elsevier
The application of methods drawn from nonlinear and stochastic dynamics to the analysis of
cardiovascular time series is reviewed, with particular reference to the identification of …

Description of stochastic and chaotic series using visibility graphs

L Lacasa, R Toral - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
Nonlinear time series analysis is an active field of research that studies the structure of
complex signals in order to derive information of the process that generated those series, for …

Coupling functions: universal insights into dynamical interaction mechanisms

T Stankovski, T Pereira, PVE McClintock… - Reviews of Modern …, 2017 - APS
The dynamical systems found in nature are rarely isolated. Instead they interact and
influence each other. The coupling functions that connect them contain detailed information …

Wiener–Granger causality in network physiology with applications to cardiovascular control and neuroscience

A Porta, L Faes - Proceedings of the IEEE, 2015 - ieeexplore.ieee.org
Since the operative definition given by CWJ Granger of an idea expressed by N. Wiener, the
Wiener-Granger causality (WGC) has been one of the most relevant concepts exploited by …

Permutation-information-theory approach to unveil delay dynamics from time-series analysis

L Zunino, MC Soriano, I Fischer, OA Rosso… - Physical Review E …, 2010 - APS
In this paper an approach to identify delay phenomena from time series is developed. We
show that it is possible to perform a reliable time delay identification by using quantifiers …

Synchronization phenomena in human epileptic brain networks

K Lehnertz, S Bialonski, MT Horstmann, D Krug… - Journal of neuroscience …, 2009 - Elsevier
Epilepsy is a malfunction of the brain that affects over 50 million people worldwide. Epileptic
seizures are usually characterized by an abnormal synchronized firing of neurons involved …

Cardiovascular and cardiorespiratory coupling analyses: a review

S Schulz, FC Adochiei, IR Edu… - … of the Royal …, 2013 - royalsocietypublishing.org
Recently, methods have been developed to analyse couplings in dynamic systems. In the
field of medical analysis of complex cardiovascular and cardiorespiratory systems, there is …