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 …

Recurrence plots for the analysis of complex systems

N Marwan, MC Romano, M Thiel, J Kurths - Physics reports, 2007 - Elsevier
Recurrence is a fundamental property of dynamical systems, which can be exploited to
characterise the system's behaviour in phase space. A powerful tool for their visualisation …

[PDF][PDF] A universal concept in nonlinear sciences

A Pikovsky, M Rosenblum, J Kurths, A Synchronization - Self, 2001 - researchgate.net
3.2. 2 An example: periodically stimulated firefly 61 3.2. 3 Entrainment by a pulse train 62
3.2. 4 Synchronization of higher order. Arnold tongues 65 3.2. 5 An example: periodic …

Recurrence-based time series analysis by means of complex network methods

RV Donner, M Small, JF Donges, N Marwan… - … Journal of Bifurcation …, 2011 - World Scientific
Complex networks are an important paradigm of modern complex systems sciences which
allows quantitatively assessing the structural properties of systems composed of different …

A historical review of recurrence plots

N Marwan - The European Physical Journal Special Topics, 2008 - Springer
In the last two decades recurrence plots (RPs) were introduced in many different scientific
disciplines. It turned out how powerful this method is. After introducing approaches of …

Time series analysis via network science: Concepts and algorithms

VF Silva, ME Silva, P Ribeiro… - … Reviews: Data Mining …, 2021 - Wiley Online Library
There is nowadays a constant flux of data being generated and collected in all types of real
world systems. These data sets are often indexed by time, space, or both requiring …

Traumatic brain injury detection using electrophysiological methods

PE Rapp, DO Keyser, A Albano… - Frontiers in human …, 2015 - frontiersin.org
Measuring neuronal activity with electrophysiological methods may be useful in detecting
neurological dysfunctions, such as mild traumatic brain injury (mTBI). This approach may be …

Multidimensional Recurrence Quantification Analysis (MdRQA) for the analysis of multidimensional time-series: A software implementation in MATLAB and its …

S Wallot, A Roepstorff, D Mønster - Frontiers in psychology, 2016 - frontiersin.org
We introduce Multidimensional Recurrence Quantification Analysis (MdRQA) as a tool to
analyze multidimensional time-series data. We show how MdRQA can be used to capture …

A complex network-based broad learning system for detecting driver fatigue from EEG signals

Y Yang, Z Gao, Y Li, Q Cai, N Marwan… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Driver fatigue detection is of great significance for guaranteeing traffic safety and further
reducing economic as well as societal loss. In this article, a novel complex network (CN) …

Measuring ecological complexity

L Parrott - Ecological Indicators, 2010 - Elsevier
Complexity is an elusive term in ecology that is often used in different ways to describe the
state of an ecosystem. Ecological complexity has been linked to concepts such as ecological …