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Reik V. Donner

As seen in: Physical Review B
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Articles

[2501.18737] Complex network approaches to nonlinear time series analysis

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By Reik V. Donner, Norbert Marwan, Jonathan F. Donges, Jürgen Kurths
| arXiv
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Nonlinear time series analysis of palaeoclimate proxy records

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By Jonathan F. Donges, Reik V. Donner, Deniz Eroglu
| zenodo.org
Jupyter notebook for nonlinear time series analysis of the palaeoclimate proxy records used in the paper. It calculates the number of potential wells, the entropy of the data, the order pattern (permutation) entropy, the recurrence quantification/network measures, DET, LAM, transitivity, and average path length as well as the visibility graph based irreversibility test statsitics p(k) and p(C). The repository also contains the data sets used in the analysis in the folder Data. Published in N.
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Network percolation provides early warnings of abrupt changes in coupled oscillatory systems: An explanatory analysis

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By Cristóbal López, Emilio Hernández-García, Noémie Ehstand, Reik V. Donner
| Physical Review B
Functional networks are powerful tools to study statistical interdependency structures in spatially extended or multivariable systems. They have been used to get insights into the dynamics of complex systems in various areas of science. In particular, percolation properties of correlation networks have been employed to identify early warning signals of critical transitions.
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