Predicting Instability in Complex Oscillator Networks: Limitations and Potentials of Network Measures and Machine Learning.

Eckehard Schöll

Christian Nauck Michael Lindner Nora Molkenthin Jürgen Kurths Eckehard Schöll Jörg Raisch Frank Hellmann Predicting Instability in Complex Oscillator Networks: Limitations and Potentials of Network Measures and Machine Learning. 2024 abs/2402.17500 CoRR https://doi.org/10.48550/arXiv.2402.17500 db/journals/corr/corr2402.html#abs-2402-17500

Zahra Dayani Fatemeh Parastesh Sajad Jafari Eckehard Schöll Jürgen Kurths Julien Clinton Sprott Similar Master Stability Functions for Different Coupling Schemes in Basic Chaotic Systems. 2350122:1-2350122:11 2023 August 33 Int. J. Bifurc. Chaos 10 https://doi.org/10.1142/S0218127423501225 db/journals/ijbc/ijbc33.html#DayaniPJSKS23

Marius Winkler Grégory Dumont Eckehard Schöll Boris S. Gutkin Phase response approaches to neural activity models with distributed delay. 191-203 2022 116 Biol. Cybern. 2 https://doi.org/10.1007/s00422-021-00910-9 db/journals/bc/bc116.html#WinklerDSG22

Jakub Sawicki Eckehard Schöll Influence of Sound on Empirical Brain Networks. 662221 2021 7 Frontiers Appl. Math. Stat. https://doi.org/10.3389/fams.2021.662221 db/journals/fams/fams7.html#SawickiS21

Thomas Maertens Eckehard Schöll Jorge Ruiz Philipp Hövel Multilayer network analysis of <i>C. elegans</i>: Looking into the locomotory circuitry. 238-261 2021 427 Neurocomputing https://doi.org/10.1016/j.neucom.2020.11.015 db/journals/ijon/ijon427.html#MaertensSRH21

Rico Berner Volker Mehrmann Eckehard Schöll Serhiy Yanchuk The Multiplex Decomposition: An Analytic Framework for Multilayer Dynamical Networks. 1752-1772 2021 20 SIAM J. Appl. Dyn. Syst. 4 https://doi.org/10.1137/21M1406180 db/journals/siamads/siamads20.html#BernerMSY21

Stefan Apostel Nicholas D. Haynes Eckehard Schöll Otti D'Huys Daniel J. Gauthier Reservoir Computing Using Autonomous Boolean Networks Realized on Field-Programmable Gate Arrays. 239-271 2021 Reservoir Computing https://doi.org/10.1007/978-981-13-1687-6_11 series/ncs/2021NF db/series/ncs/NF2021.html#ApostelHSDG21 Eckehard Schöll Iryna Omelchenko Jakub Sawicki Control of relay synchronization in multiplex networks by time delay. 309-312 2020 ECC https://doi.org/10.23919/ECC51009.2020.9143599 conf/eucc/2020 db/conf/eucc/eucc2020.html#SchollOS20 Serhiy Yanchuk Rico Berner Eckehard Schöll Frequency clusters in adaptive networks. 313-316 2020 ECC https://doi.org/10.23919/ECC51009.2020.9143609 conf/eucc/2020 db/conf/eucc/eucc2020.html#YanchukBS20 Rico Berner Jakub Sawicki Eckehard Schöll Interplay of adaptivity and multiplexing in networks of adaptively coupled phase oscillators. 317-324 2020 ECC https://doi.org/10.23919/ECC51009.2020.9143859 conf/eucc/2020 db/conf/eucc/eucc2020.html#BernerSS20 Simona Olmi Eckehard Schöll Halgurd Taher Enhancing power grid synchronization through time delayed feedback control of solitary states. 1981-1986 2020 ECC https://doi.org/10.23919/ECC51009.2020.9143594 conf/eucc/2020 db/conf/eucc/eucc2020.html#OlmiST20

Tanmoy Banerjee Biswabibek Bandyopadhyay Anna Zakharova Eckehard Schöll Filtering Suppresses Amplitude Chimeras. 8 2019 5 Frontiers Appl. Math. Stat. https://doi.org/10.3389/fams.2019.00008 https://www.wikidata.org/entity/Q128421023 db/journals/fams/fams5.html#BanerjeeBZS19

Eckehard Schöll Anna Zakharova Ralph G. Andrzejak Editorial: Chimera States in Complex Networks. 62 2019 5 Frontiers Appl. Math. Stat. https://doi.org/10.3389/fams.2019.00062 db/journals/fams/fams5.html#SchollZA19

Rico Berner Eckehard Schöll Serhiy Yanchuk Multiclusters in Networks of Adaptively Coupled Phase Oscillators. 2227-2266 2019 18 SIAM J. Appl. Dyn. Syst. 4 https://doi.org/10.1137/18M1210150 https://www.wikidata.org/entity/Q126559810 db/journals/siamads/siamads18.html#BernerSY19

Sebastian Lange Peter Sokolowski Eckehard Schöll Xinghuo Yu 0001 Using revealed-bidding in power markets: A paradigmatic model. 183-188 2019 ISIE https://doi.org/10.1109/ISIE.2019.8781221 conf/isie/2019 db/conf/isie/isie2019.html#LangeSSY19

Iryna Omelchenko Tobias Hülser Anna Zakharova Eckehard Schöll Control of Chimera States in Multilayer Networks. 67 2018 4 Frontiers Appl. Math. Stat. https://doi.org/10.3389/fams.2018.00067 db/journals/fams/fams4.html#OmelchenkoHZS18

Sergey A. Bogomolov Andrei V. Slepnev Galina I. Strelkova Eckehard Schöll Vadim S. Anishchenko Mechanisms of appearance of amplitude and phase chimera states in ensembles of nonlocally coupled chaotic systems. 25-36 2017 43 Commun. Nonlinear Sci. Numer. Simul. https://doi.org/10.1016/j.cnsns.2016.06.024 db/journals/cnsns/cnsns43.html#BogomolovSSSA17

Peter Nestler Eckehard Schöll Fredi Tröltzsch Optimization of nonlocal time-delayed feedback controllers. 265-294 2016 64 Comput. Optim. Appl. 1 https://doi.org/10.1007/s10589-015-9809-6 db/journals/coap/coap64.html#NestlerST16

Sergei A. Plotnikov J. Lehnert Alexander L. Fradkov Eckehard Schöll Adaptive Control of Synchronization in Delay-Coupled Heterogeneous Networks of FitzHugh-Nagumo Nodes. 1650058:1-1650058:14 2016 26 Int. J. Bifurc. Chaos 4 https://doi.org/10.1142/S0218127416500589 db/journals/ijbc/ijbc26.html#PlotnikovLFS16

Niklas Hübel Eckehard Schöll Markus A. Dahlem Bistable Dynamics Underlying Excitability of Ion Homeostasis in Neuron Models. 2014 10 PLoS Comput. Biol. 5 https://doi.org/10.1371/journal.pcbi.1003551 https://www.wikidata.org/entity/Q28538303 db/journals/ploscb/ploscb10.html#HubelSD14

Anastasiia Panchuk David P. Rosin Philipp Hövel Eckehard Schöll Synchronization of Coupled Neural oscillators with Heterogeneous delays. 2013 23 Int. J. Bifurc. Chaos 12 https://doi.org/10.1142/S0218127413300395 db/journals/ijbc/ijbc23.html#PanchukRHS13

Christian Otto Björn Globisch Kathy Lüdge Eckehard Schöll Thomas Erneux Complex Dynamics of semiconductor Quantum dot Lasers subject to delayed Optical Feedback. 2012 22 Int. J. Bifurc. Chaos 10 https://doi.org/10.1142/S021812741250246X db/journals/ijbc/ijbc22.html#OttoGLSE12

Philipp Hövel Markus A. Dahlem Eckehard Schöll Control of Synchronization in Coupled Neural Systems by Time-Delayed Feedback. 813-825 2010 20 Int. J. Bifurc. Chaos 3 https://doi.org/10.1142/S0218127410026101 db/journals/ijbc/ijbc20.html#HovelDS10

Markus A. Dahlem G. Hiller Anastasiia Panchuk Eckehard Schöll Dynamics of Delay-Coupled Excitable Neural Systems. 745-753 2009 19 Int. J. Bifurc. Chaos 2 https://doi.org/10.1142/S0218127409023111 db/journals/ijbc/ijbc19.html#DahlemHPS09

J. Hizanidis R. Aust Eckehard Schöll Delay-Induced Multistability Near a Global bifurcation. 1759-1765 2008 18 Int. J. Bifurc. Chaos 6 https://doi.org/10.1142/S0218127408021348 db/journals/ijbc/ijbc18.html#HizanidisAS08

J. Hizanidis Alexander G. Balanov Andreas Amann Eckehard Schöll Noise-Induced oscillations and their Control in semiconductor superlattices. 1701-1710 2006 16 Int. J. Bifurc. Chaos 6 https://doi.org/10.1142/S0218127406015611 db/journals/ijbc/ijbc16.html#HizanidisBAS06

Eckehard Schöll Modeling Nonlinear and Chaotic Dynamics in Semiconductor Device Structures. 321-329 1998 6 VLSI Design 1-4 https://doi.org/10.1155/1998/84685 db/journals/vlsi/vlsi6.html#Scholl98

Wolfgang Quade Massimo Rudan Eckehard Schöll Hydrodynamic simulation of impact-ionization effects in p-n junctions. 1287-1294 1991 10 IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 10 https://doi.org/10.1109/43.88924 db/journals/tcad/tcad10.html#QuadeRS91

Andreas Amann Ralph G. Andrzejak Vadim S. Anishchenko Stefan Apostel R. Aust Alexander G. Balanov Biswabibek Bandyopadhyay Tanmoy Banerjee Rico Berner Sergey A. Bogomolov Markus A. Dahlem Zahra Dayani Otti D'Huys Grégory Dumont Thomas Erneux Alexander L. Fradkov Daniel J. Gauthier Björn Globisch Boris GutkinBoris S. Gutkin Nicholas D. Haynes Frank Hellmann G. Hiller J. Hizanidis Philipp Hövel Niklas Hübel Tobias Hülser Sajad Jafari Jürgen Kurths Sebastian Lange J. Lehnert Michael Lindner Kathy Lüdge Thomas Maertens Volker Mehrmann Nora Molkenthin Christian Nauck Peter Nestler Simona Olmi Iryna Omelchenko Christian Otto Anastasiia Panchuk Fatemeh Parastesh Sergei A. Plotnikov Wolfgang Quade Jörg Raisch David P. Rosin Massimo Rudan Jorge Ruiz Jakub Sawicki Andrei V. Slepnev Peter Sokolowski Julien Clinton Sprott Galina I. Strelkova Halgurd Taher Fredi Tröltzsch Marius Winkler Serhiy Yanchuk Xinghuo Yu 0001 Anna Zakharova