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 …

Ambiguities in recurrence-based complex network representations of time series

RV Donner, Y Zou, JF Donges, N Marwan… - Physical Review E …, 2010 - APS
Recently, different approaches have been proposed for studying basic properties of time
series from a complex network perspective. In this work, the corresponding potentials and …

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 …

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 …

The geometry of chaotic dynamics—a complex network perspective

RV Donner, J Heitzig, JF Donges, Y Zou… - The European Physical …, 2011 - Springer
Recently, several complex network approaches to time series analysis have been
developed and applied to study a wide range of model systems as well as real-world data …

Complex network approach for recurrence analysis of time series

N Marwan, JF Donges, Y Zou, RV Donner, J Kurths - Physics Letters A, 2009 - Elsevier
We propose a novel approach for analysing time series using complex network theory. We
identify the recurrence matrix (calculated from time series) with the adjacency matrix of a …

Analytical framework for recurrence network analysis of time series

JF Donges, J Heitzig, RV Donner, J Kurths - Physical Review E—Statistical …, 2012 - APS
Recurrence networks are a powerful nonlinear tool for time series analysis of complex
dynamical systems. While there are already many successful applications ranging from …

Characterizing pseudoperiodic time series through the complex network approach

J Zhang, J Sun, X Luo, K Zhang, T Nakamura… - Physica D: Nonlinear …, 2008 - Elsevier
Recently a new framework has been proposed to explore the dynamics of pseudoperiodic
time series by constructing a complex network [J. Zhang, M. Small, Phys. Rev. Lett. 96 …

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 …

Unified functional network and nonlinear time series analysis for complex systems science: The pyunicorn package

JF Donges, J Heitzig, B Beronov… - … Journal of Nonlinear …, 2015 - pubs.aip.org
We introduce the pyunicorn (Pythonic unified complex network and recurrence analysis
toolbox) open source software package for applying and combining modern methods of data …