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Recurrence Plots for the Analysis of Complex Systems
Norbert Marwan, Maria Carmen Romano, Marco Thiel +1
Recurrence is a fundamental property of dynamical systems, which can be exploited to characterise the system's behaviour in phase space. A powerful tool for their visualisation and…
Challenges and perspectives in recurrence analyses of event time series
Norbert Marwan
The analysis of event time series is in general challenging. Most time series analysis tools are limited for the analysis of this kind of data. Recurrence analysis, a powerful conc…
Trends in recurrence analysis of dynamical systems
Norbert Marwan, K. Hauke Kraemer
The last decade has witnessed a number of important and exciting developments that had been achieved for improving recurrence plot based data analysis and to widen its application…
Stickiness and recurrence plots: an entropy-based approach
Matheus R. Sales, Michele Mugnaine, José D. Szezech +4
The stickiness effect is a fundamental feature of quasi-integrable Hamiltonian systems. We propose the use of an entropy-based measure of the recurrence plots (RP), namely, the ent…
Evaluation of selected recurrence measures in discriminating pre-ictal and inter-ictal periods from epileptic EEG data
Eulalie Joelle Ngamga, Stephan Bialonski, Norbert Marwan +3
We investigate the suitability of selected measures of complexity based on recurrence quantification analysis and recurrence networks for an identification of pre-seizure states in…
Analysing spatially extended high-dimensional dynamics by recurrence plots
Norbert Marwan, Jürgen Kurths, Saskia Foerster
Recurrence plot based measures of complexity are capable tools for characterizing complex dynamics. In this letter we show the potential of selected recurrence plot measures for th…