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20112025
most citedComplex network approaches to nonlinear time series analysis

648 citations

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physics.data-an2025★ 648 cited

Complex network approaches to nonlinear time series analysis

Yong Zou, Reik V. Donner, Norbert Marwan +2

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 se…

physics.data-an2017★ 48 cited

Mapping and discrimination of networks in the complexity-entropy plane

Marc Wiedermann, Jonathan F. Donges, Jürgen Kurths +1

Complex networks are usually characterized in terms of their topological, spatial, or information-theoretic properties and combinations of the associated metrics are used to discri…

physics.data-an2016★ 53 cited

A climate network-based index to discriminate different types of El Niño and La Niña

Marc Wiedermann, Alexander Radebach, Jonathan F. Donges +2

El Niño exhibits distinct Eastern Pacific (EP) and Central Pacific (CP) types which are commonly, but not always consistently, distinguished from each other by different signatures…

physics.data-an2015★ 134 cited

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

Jonathan F. Donges, Jobst Heitzig, Boyan Beronov +9

We introduce the \texttt{pyunicorn} (Pythonic unified complex network and recurrence analysis toolbox) open source software package for applying and combining modern methods of dat…

physics.data-an2013★ 99 cited

Disentangling different types of El Niño episodes by evolving climate network analysis

Alexander Radebach, Reik V. Donner, Jakob Runge +2

Complex network theory provides a powerful toolbox for studying the structure of statistical interrelationships between multiple time series in various scientific disciplines. In t…

physics.data-an2013★ 61 cited

How complex climate networks complement eigen techniques for the statistical analysis of climatological data

Jonathan F. Donges, Irina Petrova, Alexander Loew +2

Eigen techniques such as empirical orthogonal function (EOF) or coupled pattern (CP) / maximum covariance analysis have been frequently used for detecting patterns in multivariate…

physics.data-an2012★ 99 cited

Testing time series irreversibility using complex network methods

Jonathan F. Donges, Reik V. Donner, Jürgen Kurths

The absence of time-reversal symmetry is a fundamental property of many nonlinear time series. Here, we propose a new set of statistical tests for time series irreversibility based…