648 citations · 5.6k across the 51 of their papers we have counts for
51 papers
Recurrence threshold selection for obtaining robust recurrence characteristics in different embedding dimensions
K. Hauke Kraemer, Reik V. Donner, Jobst Heitzig +1
The appropriate selection of recurrence thresholds is a key problem in applications of recurrence quantification analysis and related methods across disciplines. Here, we discuss t…
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…
The stochastic skeleton model for the Madden-Julian Oscillation with time-dependent observation-based forcing
Noémie Ehstand, Reik V. Donner, Cristóbal López +2
We analyze solutions to the stochastic skeleton model, a minimal nonlinear oscillator model for the Madden-Julian Oscillation (MJO). This model has been recognized for its ability…
Network percolation provides early warnings of abrupt changes in coupled oscillatory systems: An explanatory analysis
Noémie Ehstand, Reik V. Donner, Cristóbal López +1
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…
Chameleon attractors in a turbulent flow
Tommaso Alberti, Francois Daviaud, Reik V. Donner +3
Turbulent flows present rich dynamics originating from non-trivial energy fluxes across scales, non-stationary forcings and geometrical constraints. This complexity manifests in no…
Generalization of Higuchi's fractal dimension for multifractal analysis of time series with limited length
Carlos Carrizales-Velazquez, Reik V. Donner, Lev Guzmán-Vargas
We introduce a generalization of Higuchi's estimator of the fractal dimension as a new way to characterize the multifractal spectrum of univariate time series. The resulting multif…