Revealing Higher-Order Interactions in High-Dimensional Complex Systems: A Data-Driven Approach

M. Reza Rahimi Tabar, Farnik Nikakhtar, Laya Parkavousi, Amin Akhshi, Ulrike Feudel, and Klaus Lehnertz

Phys. Rev. X 14, 011050, 2024

Synchronization dynamics of phase oscillators on power grid models

Max Potratzki, Timo Bröhl, Thorsten Rings and Klaus Lehnertz

Chaos: An Interdisciplinary Journal of Nonlinear Science 34 (4), 2024

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

Klaus Lehnertz

Chaos: An Interdisciplinary Journal of Nonlinear Science 34, 072102, 2024

Impact of biological rhythms on the importance hierarchy of constituents in time-dependent functional brain networks

T Bröhl, R Von Wrede, K Lehnertz

Frontiers in Network Physiology 3, 2023

Data-driven reconstruction of stochastic dynamical equations based on statistical moments

F Nikakhtar, L Parkavousi, M Sahimi, MRR Tabar, U Feudel, K Lehnertz

New Journal of Physics 25 (8), 083025, 2023

Modifications of functional human brain networks by transcutaneous auricular vagus nerve stimulation: impact of time of day

R von Wrede, T Bröhl, T Rings, J Pukropski, C Helmstaedter, K Lehnertz

Brain Sciences 12 (5), 546, 2022

Network structure from a characterization of interactions in complex systems

T Rings, T Bröhl, K Lehnertz

Scientific Reports 12 (1), 11742, 2022

The time-evolving epileptic brain network: concepts, definitions, accomplishments, perspectives

T Bröhl, T Rings, J Pukropski, R Von Wrede, K Lehnertz

Frontiers in Network Physiology 3, 1338864, 2024

Epileptic-network-based prediction and control of seizures in humans

K Lehnertz, T Bröhl, R von Wrede

Neurobiology of Disease, 106098, 2023

Time in brain: how biological rhythms impact on EEG signals and on EEG-derived brain networks

K Lehnertz, T Rings, T Bröhl

Frontiers in Network Physiology 1, 755016, 2021

Towards a data-driven estimation of resilience in networked dynamical systems: designing a versatile testbed

T Fischer, T Rings, MR Rahimi Tabar, K Lehnertz

Frontiers in Network Physiology 2, 838142, 2022

A straightforward edge centrality concept derived from generalizing degree and strength

T Bröhl, K Lehnertz

Scientific Reports 12 (1), 4407, 2022

Testing jump-diffusion in epileptic brain dynamics: Impact of daily rhythms

JG Kurth, T Rings, K Lehnertz

Entropy 23 (3), 309, 2021

FitzHugh–Nagumo oscillators on complex networks mimic epileptic-seizure-related synchronization phenomena

M Gerster, R Berner, J Sawicki, A Zakharova, A Škoch, J Hlinka, K Lehnertz, E Schöll

Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (12), 2020

No evidence for critical slowing down prior to human epileptic seizures

T Wilkat, T Rings, K Lehnertz

Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (9), 2019

Traceability and dynamical resistance of precursor of extreme events

T Rings, M Mazarei, A Akhshi, C Geier, MRR Tabar, K Lehnertz

Scientific reports 9 (1), 1744, 2019

Complexity and irreducibility of dynamics on networks of networks

L Rydin Gorjão, A Saha, G Ansmann, U Feudel, K Lehnertz

Chaos: An Interdisciplinary Journal of Nonlinear Science 28 (10), 2018

Self-induced switchings between multiple space-time patterns on complex networks of excitable units

G Ansmann, K Lehnertz, U Feudel

Physical Review X 6 (1), 011030, 2016

Irregular macroscopic dynamics due to chimera states in small-world networks of pulse-coupled oscillators

A Rothkegel, K Lehnertz

New Journal of Physics 16 (5), 055006, 2014

Route to extreme events in excitable systems

R Karnatak, G Ansmann, U Feudel, K Lehnertz

Physical Review E 90 (2), 022917, 2014