activity
20242026
most citedTime-series-analysis-based detection of critical transitions in real-world non-autonomous systems

20 citations · 28 across the 9 of their papers we have counts for

collaborators

9 papers

math.DS2026

Detecting seizure onset and offset times using human intelligence: A critical-transitions-based approach

Andrew Flynn, Cian McCafferty, Klaus Lehnertz +4

Most existing seizure detection algorithms require extensive pre-processing of the data and rely on heuristic or currently unexplainable machine learning approaches. These approach…

nlin.CD2026

Complex network topological and spectral determinants of extreme events

Christian Hechler, Timo Bröhl, Ulrike Feudel +1

We study the impact of the coupling topology on the ability of various networked dynamical systems to generate extreme events. By determining the coupling strength that is necessar…

nlin.CD2025★ 1 cited

Transcript-based estimators for characterizing interactions

Manuel Adams, José M. Amigó, Klaus Lehnertz

The concept of transcripts was introduced in 2009 as a means to characterize various aspects of the functional relationship between time series of interacting systems. Based on thi…

nlin.CD2025

Quantifying the irregularity of a time series

Max Potratzki, Manuel Adams, Timo Bröhl +1

We introduce circulance, a scalar measure for classifying time series of dynamical systems. Circulance captures the extent of temporal regularity or irregularity that is encoded in…

math.DS2025

Classifying absence seizure generation mechanisms: A critical transitions framework

Andrew Flynn, Cian McCafferty, Klaus Lehnertz +4

Understanding how the brain switches from normal activity to an epileptic seizure is essential for improving seizure therapy, yet the underlying seizure generation mechanisms remai…

physics.ao-ph2025

Discontinuous stochastic forcing in Greenland ice core data

Keno Riechers, Andreas Morr, Klaus Lehnertz +4

Paleoclimate proxy records from Greenland ice cores, archiving e.g. O as a proxy for surface temperature, show that sudden climatic shifts called Dansgaard-Oeschger events…

nlin.CD2025★ 7 cited

Generalized synchronization in the presence of dynamical noise and its detection via recurrent neural networks

José M. Amigó, Roberto Dale, Juan C. King +1

Given two unidirectionally coupled nonlinear systems, we speak of generalized synchronization when the responder \textquotedblleft follows\textquotedblright\ the driver. Mathematic…

physics.data-an2024★ 20 cited

Time-series-analysis-based detection of critical transitions in real-world non-autonomous systems

Klaus Lehnertz

Real-world non-autonomous systems are open, out-of-equilibrium systems that evolve in and are driven by temporally varying environments. Such systems can show multiple timescale an…

physics.soc-ph2024

Synchronization dynamics of phase oscillators on power grid models

Max Potratzki, Timo Bröhl, Thorsten Rings +1

We investigate topological and spectral properties of models of European and US-American power grids and of paradigmatic network models as well as their implications for the synchr…