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 …

Multifractal analysis of financial markets: A review

ZQ Jiang, WJ Xie, WX Zhou… - Reports on Progress in …, 2019 - iopscience.iop.org
Multifractality is ubiquitously observed in complex natural and socioeconomic systems.
Multifractal analysis provides powerful tools to understand the complex nonlinear nature of …

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 …

Recurrence networks—a novel paradigm for nonlinear time series analysis

RV Donner, Y Zou, JF Donges, N Marwan… - New Journal of …, 2010 - iopscience.iop.org
This paper presents a new approach for analysing the structural properties of time series
from complex systems. Starting from the concept of recurrences in phase space, the …

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 …

Dynamic analysis of digital chaotic maps via state-mapping networks

C Li, B Feng, S Li, J Kurths… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Chaotic dynamics is widely used to design pseudo-random number generators and for other
applications, such as secure communications and encryption. This paper aims to study the …

Network analysis of particles and grains

L Papadopoulos, MA Porter, KE Daniels… - Journal of Complex …, 2018 - academic.oup.com
The arrangements of particles and forces in granular materials have a complex organization
on multiple spatial scales that range from local structures to mesoscale and system-wide …

How to avoid potential pitfalls in recurrence plot based data analysis

N Marwan - International Journal of Bifurcation and Chaos, 2011 - World Scientific
Recurrence plots and recurrence quantification analysis have become popular in the last
two decades. Recurrence based methods have on the one hand a deep foundation in the …

Multiscale limited penetrable horizontal visibility graph for analyzing nonlinear time series

ZK Gao, Q Cai, YX Yang, WD Dang, SS Zhang - Scientific reports, 2016 - nature.com
Visibility graph has established itself as a powerful tool for analyzing time series. We in this
paper develop a novel multiscale limited penetrable horizontal visibility graph (MLPHVG) …

The dynamic nature of percolation on networks with triadic interactions

H Sun, F Radicchi, J Kurths, G Bianconi - Nature Communications, 2023 - nature.com
Percolation establishes the connectivity of complex networks and is one of the most
fundamental critical phenomena for the study of complex systems. On simple networks …