Nonlinear methods most applied to heart-rate time series: A review

T Henriques, M Ribeiro, A Teixeira, L Castro, L Antunes… - Entropy, 2020‏ - mdpi.com
The heart-rate dynamics are one of the most analyzed physiological interactions. Many
mathematical methods were proposed to evaluate heart-rate variability. These methods …

Fractal and multifractal time series

JW Kantelhardt - arxiv preprint arxiv:0804.0747, 2008‏ - arxiv.org
Data series generated by complex systems exhibit fluctuations on many time scales and/or
broad distributions of the values. In both equilibrium and non-equilibrium situations, the …

Multifractal detrended fluctuation analysis of nonstationary time series

JW Kantelhardt, SA Zschiegner… - Physica A: Statistical …, 2002‏ - Elsevier
We develop a method for the multifractal characterization of nonstationary time series, which
is based on a generalization of the detrended fluctuation analysis (DFA). We relate our …

Fractal dynamics in physiology: alterations with disease and aging

AL Goldberger, LAN Amaral, JM Hausdorff… - Proceedings of the …, 2002‏ - pnas.org
According to classical concepts of physiologic control, healthy systems are self-regulated to
reduce variability and maintain physiologic constancy. Contrary to the predictions of …

[ספר][B] Chaos and time-series analysis

JC Sprott - 2003‏ - academic.oup.com
This text provides an introduction to the exciting new developments in chaos and related
topics in nonlinear dynamics, including the detection and quantification of chaos in …

What is physiologic complexity and how does it change with aging and disease?

AL Goldberger, CK Peng, LA Lipsitz - Neurobiology of aging, 2002‏ - Elsevier
A defining but elusive feature of physiologic systems is their daunting complexity. This
complexity arises from the interaction of a myriad of structural units and regulatory feedback …

Complex networks: Augmenting the framework for the study of complex systems

LAN Amaral, JM Ottino - The European physical journal B, 2004‏ - Springer
We briefly describe the toolkit used for studying complex systems: nonlinear dynamics,
statistical physics, and network theory. We place particular emphasis on network theory--the …

[ספר][B] Natural time analysis: the new view of time: precursory seismic electric signals, earthquakes and other complex time series

P Varotsos, NV Sarlis, ES Skordas - 2011‏ - books.google.com
This book deals with the theory and the applications of a new time domain, termed natural
time domain, that has been forwarded by the authors almost a decade ago (PA Varotsos, NV …

A Poissonian explanation for heavy tails in e-mail communication

RD Malmgren, DB Stouffer, AE Motter… - Proceedings of the …, 2008‏ - pnas.org
Patterns of deliberate human activity and behavior are of utmost importance in areas as
diverse as disease spread, resource allocation, and emergency response. Because of its …

From noise to multifractal cascades in heartbeat dynamics

PC Ivanov, LA Nunes Amaral, AL Goldberger… - … Journal of Nonlinear …, 2001‏ - pubs.aip.org
We explore the degree to which concepts developed in statistical physics can be usefully
applied to physiological signals. We illustrate the problems related to physiologic signal …