648 citations · 6.9k across the 60 of their papers we have counts for
10 papers · 1 filter
Dynamics of Tipping Cascades on Complex Networks
Jonathan Krönke, Nico Wunderling, Ricarda Winkelmann +4
Tipping points occur in diverse systems in various disciplines such as ecology, climate science, economy or engineering. Tipping points are critical thresholds in system parameters…
Constrained basin stability for studying transient phenomena in dynamical systems
Adrian van Kan, Jannes Jegminat, Jonathan Donges +1
Transient dynamics are of large interest in many areas of science. Here, a generalization of basin stability (BS) is presented: constrained basin stability (CBS) that is sensitive…
Geometric signature of complex synchronisation scenarios
Jan F. Feldhoff, Reik V. Donner, Jonathan F. Donges +2
Synchronisation between coupled oscillatory systems is a common phenomenon in many natural as well as technical systems. Varying the strength of coupling often leads to qualitative…
Power-laws in recurrence networks from dynamical systems
Y. Zou, J. Heitzig, R. V. Donner +6
Recurrence networks are a novel tool of nonlinear time series analysis allowing the characterisation of higher-order geometric properties of complex dynamical systems based on recu…
The Geometry of Chaotic Dynamics -- A Complex Network Perspective
Reik V. Donner, Jobst Heitzig, Jonathan F. Donges +3
Recently, several complex network approaches to time series analysis have been developed and applied to study a wide range of model systems as well as real-world data, e.g., geophy…
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…