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Fluctuation of similarity (FLUS) to detect transitions between distinct dynamical regimes in short time series
Nishant Malik, Norbert Marwan, Yong Zou +2
Recently a method which employs computing of fluctuations in a measure of nonlinear similarity based on local recurrence properties in a univariate time series, was introduced to i…
Estimating coupling directions in the cardio-respiratory system using recurrence properties
Norbert Marwan, Yong Zou, Niels Wessel +2
The asymmetry of coupling between complex systems can be studied by conditional probabilities of recurrence, which can be estimated by joint recurrence plots. This approach is appl…
Recurrence Plots 25 years later -- gaining confidence in dynamical transitions
Norbert Marwan, Stefan Schinkel, Jürgen Kurths
Recurrence plot based time series analysis is widely used to study changes and transitions in the dynamics of a system or temporal deviations from its overall dynamical regime. How…
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…
Geometric detection of coupling directions by means of inter-system recurrence networks
Jan H. Feldhoff, Reik V. Donner, Jonathan F. Donges +2
We introduce a geometric method for identifying the coupling direction between two dynamical systems based on a bivariate extension of recurrence network analysis. Global character…