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Journal Articles

Introduction to Focus Issue: Data-driven models and analysis of complex systems

Johann H. Martínez, Klaus Lehnertz, Nicolás Rubido

Chaos 35, 030401 (2025)

https://doi.org/10.1063/5.0263794

Published: March 2025

View articletitled, Introduction to Focus Issue: Data-driven models and analysis of complex systems

Journal Articles

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

José M. Amigó, Roberto Dale, Juan C. King, Klaus Lehnertz

Chaos 34, 123156 (2024)

https://doi.org/10.1063/5.0235802

Published: December 2024

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

Journal Articles

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

Klaus Lehnertz

Chaos 34, 072102 (2024)

https://doi.org/10.1063/5.0214733

Published: July 2024

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

Journal Articles

Synchronization dynamics of phase oscillators on power grid models

Max Potratzki, Timo Bröhl, Thorsten Rings, Klaus Lehnertz

Chaos 34, 043131 (2024)

https://doi.org/10.1063/5.0197930

Published: April 2024

View articletitled, Synchronization dynamics of phase oscillators on power grid models

Journal Articles

A perturbation-based approach to identifying potentially superfluous network constituents

Timo Bröhl, Klaus Lehnertz

Chaos 33, 063119 (2023)

https://doi.org/10.1063/5.0152030

Published: June 2023

View articletitled, A perturbation-based approach to identifying potentially superfluous network constituents

Journal Articles

Ordinal methods for a characterization of evolving functional brain networks

Klaus Lehnertz

Chaos 33, 022101 (2023)

https://doi.org/10.1063/5.0136181

Published: February 2023

View articletitled, Ordinal methods for a characterization of evolving functional brain networks

Journal Articles

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

Moritz Gerster, Rico Berner, Jakub Sawicki, Anna Zakharova, Antonín Škoch, Jaroslav Hlinka, Klaus Lehnertz, Eckehard Schöll

Chaos 30, 123130 (2020)

https://doi.org/10.1063/5.0021420

Published: December 2020

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

Includes: Supplementary data

Journal Articles

Identifying edges that facilitate the generation of extreme events in networked dynamical systems

Timo Bröhl, Klaus Lehnertz

Chaos 30, 073113 (2020)

https://doi.org/10.1063/5.0002743

Published: July 2020

View articletitled, Identifying edges that facilitate the generation of extreme events in networked dynamical systems

Journal Articles

No evidence for critical slowing down prior to human epileptic seizures

Theresa Wilkat, Thorsten Rings, Klaus Lehnertz

Chaos 29, 091104 (2019)

https://doi.org/10.1063/1.5122759

Published: September 2019

View articletitled, No evidence for critical slowing down prior to human epileptic seizures

Journal Articles

Centrality-based identification of important edges in complex networks

Timo Bröhl, Klaus Lehnertz

Chaos 29, 033115 (2019)

https://doi.org/10.1063/1.5081098

Published: March 2019

View articletitled, Centrality-based identification of important edges in complex networks

Journal Articles

Complexity and irreducibility of dynamics on networks of networks

Leonardo Rydin Gorjão, Arindam Saha, Gerrit Ansmann, Ulrike Feudel, Klaus Lehnertz

Chaos 28, 106306 (2018)

https://doi.org/10.1063/1.5039483

Published: October 2018

View articletitled, Complexity and irreducibility of dynamics on networks of networks

Journal Articles

Surrogate-assisted identification of influences of network construction on evolving weighted functional networks

Kirsten Stahn, Klaus Lehnertz

Chaos 27, 123106 (2017)

https://doi.org/10.1063/1.4996980

Published: December 2017

View articletitled, Surrogate-assisted identification of influences of network construction on evolving weighted functional networks

Journal Articles

Long-term variability of importance of brain regions in evolving epileptic brain networks

Christian Geier, Klaus Lehnertz

Chaos 27, 043112 (2017)

https://doi.org/10.1063/1.4979796

Published: April 2017

View articletitled, Long-term variability of importance of brain regions in evolving epileptic brain networks

Journal Articles

Distinguishing between direct and indirect directional couplings in large oscillator networks: Partial or non-partial phase analyses?

Thorsten Rings, Klaus Lehnertz

Chaos 26, 093106 (2016)

https://doi.org/10.1063/1.4962295

Published: September 2016

View articletitled, Distinguishing between direct and indirect directional couplings in large oscillator networks: Partial or non-partial phase analyses?

Journal Articles

Transitions between dynamical behaviors of oscillator networks induced by diversity of nodes and edges

Sebastian Werner, Klaus Lehnertz

Chaos 25, 073101 (2015)

https://doi.org/10.1063/1.4922836

Published: June 2015

View articletitled, Transitions between dynamical behaviors of oscillator networks induced by diversity of nodes and edges

Journal Articles

Can spurious indications for phase synchronization due to superimposed signals be avoided?

Stephan Porz, Matthäus Kiel, Klaus Lehnertz

Chaos 24, 033112 (2014)

https://doi.org/10.1063/1.4890568

Published: July 2014

View articletitled, Can spurious indications for phase synchronization due to superimposed signals be avoided?

Journal Articles

A Gaussian graphical model approach to climate networks

Tanja Zerenner, Petra Friederichs, Klaus Lehnertz, Andreas Hense

Chaos 24, 023103 (2014)

https://doi.org/10.1063/1.4870402

Published: April 2014

View articletitled, A Gaussian graphical model approach to climate networks

Journal Articles

Assortative mixing in functional brain networks during epileptic seizures

Stephan Bialonski, Klaus Lehnertz

Chaos 23, 033139 (2013)

https://doi.org/10.1063/1.4821915

Published: September 2013

View articletitled, Assortative mixing in functional brain networks during epileptic seizures

Journal Articles

Identifying important nodes in weighted functional brain networks: A comparison of different centrality approaches

Marie-Therese Kuhnert, Christian Geier, Christian E. Elger, Klaus Lehnertz

Chaos 22, 023142 (2012)

https://doi.org/10.1063/1.4729185

Published: June 2012

View articletitled, Identifying important nodes in weighted functional brain networks: A comparison of different centrality approaches

Journal Articles

Conedy: A scientific tool to investigate complex network dynamics

Alexander Rothkegel, Klaus Lehnertz

Chaos 22, 013125 (2012)

https://doi.org/10.1063/1.3685527

Published: February 2012

View articletitled, Conedy: A scientific tool to investigate complex network dynamics

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Introduction to Focus Issue: Data-driven models and analysis of complex systems

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

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

Synchronization dynamics of phase oscillators on power grid models

A perturbation-based approach to identifying potentially superfluous network constituents

Ordinal methods for a characterization of evolving functional brain networks

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

Identifying edges that facilitate the generation of extreme events in networked dynamical systems

No evidence for critical slowing down prior to human epileptic seizures

Centrality-based identification of important edges in complex networks

Complexity and irreducibility of dynamics on networks of networks

Surrogate-assisted identification of influences of network construction on evolving weighted functional networks

Long-term variability of importance of brain regions in evolving epileptic brain networks

Distinguishing between direct and indirect directional couplings in large oscillator networks: Partial or non-partial phase analyses?

Transitions between dynamical behaviors of oscillator networks induced by diversity of nodes and edges

Can spurious indications for phase synchronization due to superimposed signals be avoided?

A Gaussian graphical model approach to climate networks

Assortative mixing in functional brain networks during epileptic seizures

Identifying important nodes in weighted functional brain networks: A comparison of different centrality approaches

Conedy: A scientific tool to investigate complex network dynamics

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