166 citations · 520 across the 13 of their papers we have counts for
13 papers
Estimating covariant Lyapunov vectors from data
Christoph Martin, Nahal Sharafi, Sarah Hallerberg
Covariant Lyapunov vectors characterize the directions along which perturbations in dynamical systems grow. They have also been studied as predictors of critical transitions and ex…
Fluctuation-induced Distributed Resonances in Oscillatory Networks
Xiaozhu Zhang, Sarah Hallerberg, Moritz Matthiae +2
Self-organized network dynamics prevails for systems across physics, biology and engineering. How external signals generate distributed responses in networked systems fundamentally…
Model-free inference of direct network interactions from nonlinear collective dynamics
Jose Casadiego, Mor Nitzan, Sarah Hallerberg +1
The topology of interactions in network dynamical systems fundamentally underlies their function. Accelerating technological progress creates massively available data about collect…
Critical Transitions and Perturbation Growth Directions
Nahal Sharafi, Marc Timme, Sarah Hallerberg
Critical transitions occur in a variety of dynamical systems. Here, we employ quantifiers of chaos to identify changes in the dynamical structure of complex systems preceding criti…
High-Intensity Discharge Lamp and Duffing Oscillator - Similarities and Differences
Bernd Baumann, Joerg Schwieger, Ulrich Stein +2
The processes inside the arc tube of high-intensity discharge lamps are investigated by finite element simulations. The behavior of the gas mixture inside the arc tube is governed…
Network susceptibilities: theory and applications
Debsankha Manik, Martin Rohden, Henrik Ronellenfitsch +4
We introduce the concept of network susceptibilities quantifying the response of the collective dy- namics of a network to small parameter changes. We distinguish two types of susc…