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Identifying complex periodic windows in continuous-time dynamical systems using recurrence-based methods
Yong Zou, Reik V. Donner, Jonathan F. Donges +2
The identification of complex periodic windows in the two-dimensional parameter space of certain dynamical systems has recently attracted considerable interest. While for discrete…
Recurrence-based time series analysis by means of complex network methods
Reik V. Donner, Michael Small, Jonathan F. Donges +4
Complex networks are an important paradigm of modern complex systems sciences which allows quantitatively assessing the structural properties of systems composed of different inter…
How to avoid potential pitfalls in recurrence plot based data analysis
Norbert Marwan
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 theory o…
Ambiguities in recurrence-based complex network representations of time series
Reik V. Donner, Yong Zou, Jonathan F. Donges +2
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 li…