648 citations · 5.6k across the 51 of their papers we have counts for
14 papers · 1 filter
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…
Recovery time after localized perturbations in complex dynamical networks
Chiranjit Mitra, Tim Kittel, Anshul Choudhary +2
Maintaining the synchronous motion of dynamical systems interacting on complex networks is often critical to their functionality. However, real-world networked dynamical systems op…
Multi-node basin stability in complex dynamical networks
Chiranjit Mitra, Anshul Choudhary, Sudeshna Sinha +2
Dynamical entities interacting with each other on complex networks often exhibit multistability. The stability of a desired steady regime (e.g., a synchronized state) to large pert…
Spatio-temporal organization of dynamics in a two-dimensional periodically driven vortex flow: a Lagrangian flow network perspective
Michael Lindner, Reik V. Donner
We study the Lagrangian dynamics of passive tracers in a simple model of a driven two-dimensional vortex resembling real-world geophysical flow patterns. Using a discrete approxima…
Disentangling regular and chaotic motion in the standard map using complex network analysis of recurrences in phase space
Yong Zou, Reik V. Donner, Marco Thiel +1
Recurrence in the phase space of complex systems is a well-studied phenomenon, which has provided deep insights into the nonlinear dynamics of such systems. For dissipative systems…
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…