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Nonlinear Dynamics and Control

Lupe [1]

Prof. Dr. Dr. h.c. Eckehard Schöll, PhD [2]
In the center of the activities of the group are theoretical investigations and computer simulations of nonlinear dynamic systems and complex networks. We study self-organized spatio-temporal pattern formation and its control by time-delayed feedback methods, and stochastic influences and noise. Our current research focusses on the deliberate control and selection of complex, chaotic, or noise-induced space-time patterns as well as dynamics of complex delay-coupled networks. As state-of-the-art applications we investigate power grids, optoelectronic and neural systems, in particular neuronal network dynamics, semiconductor lasers, and nonlinear dynamics in semiconductor nanostructures.
Eckehard Schöll is, besides his affiliation with TU Berlin, a member and Principal Investigator of the Bernstein Center for Computational Neuroscience Berlin (since 2010) and a guest scientist at the Potsdam Institute for Climate Impact Research (since 10/2020). He is President of the International Physics and Control Society (IPACS).

Lupe [3]
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Invited Talk at the Annual Meeting of the National Academy of Sciences Leopoldina 2019 in Halle "Chimeras in Physics and Biology: Synchronization and Desynchronization of Rhythms" [6]

Video: https://www.youtube.com/watch?v=u_k1DQzIu7s&t=10888s [7]

Birth and stabilization of phase clusters by multiplexing of adaptive networks (Phys. Rev. Lett. 2020) [8]

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Partial synchronization in empirical brain networks as a model for unihemispheric sleep (Europhys. Lett. 2019) [10]

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Chasing chimeras: control of complex networks [13]

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Coherence-Resonance Chimeras in a Network of Excitable Elements (Phys. Rev. Lett. 2016) [15]  [16]

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A Tweezer for Chimeras in Small Networks (Phys. Rev. Lett. 2016) [18] [19]

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Chimera Death: Symmetry Breaking in Dynamical Networks (Phys. Rev. Lett. 2014) [21] [22]

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Quantum coherence induces pulse shape modification in a semiconductor optical amplifier at room temperature (Nature Communications 2013) [24] [25]


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Theme Issue of the Philosophical Transactions of the Royal Society London "Dynamics, control and information in delay-coupled systems" (vol. 371, September 2013) [27]


Chimera states in dynamical networks (Nature Physics 2012) [28] [29] [30]


(highlighted in Physics Today 2012) [31],(longer print version) [32]


New Collaborative Research Center: Control of self-organizing nonlinear systems [33]


Tagesspiegel 20.09.2012 [34]


Handbook of Chaos Control (Wiley, 2008) [35], View online version [36]


Delayed Complex Systems: Theme Issue of Phil. Trans. Royal Society A (2010) [37]


Neural applications of chaos control (Nature Physics 2010) [38] [39] [40]


Broadband chaos in an optoelectronic oscillator with time-delayed feedback (highlighted in Nature 2010) [41] [42] [43]



Lecture Series on Chimeras, St. Petersburg, Russian Academy of Sciences 2018 [44]

Springer Outstanding Theses Series:

  • Jakub Sawicki: Delay controlled partial synchronization in complex networks, TU Berlin (Springer, 2019) [45]
  • Lina Jaurigue: Passively Mode-Locked Semiconductor Lasers, TU Berlin (Springer, 2017) [46]
  • Judith Lehnert: Controlling Synchronization Patterns in Complex Networks, (Springer, 2016) [47]

  • Benjamin Lingnau: Nonlinear and Nonequilibrium Dynamics of Quantum-Dot Optoelectronic Devices, (Springer, 2015) [48]

  • David Rosin: Dynamics of Complex Autonomous Boolean Networks, (Springer, 2015) [49]

  • Christian Otto: Dynamics of Quantum Dot Lasers, (Springer, 2014) [50]
  • Valentin Flunkert: Delay-Coupled Complex Systems and Applications to Lasers, (Springer, 2011) [51]

  • Philipp Hövel: Control of Complex Nonlinear Systems with Delay, (Springer, 2011) [52] 

New Books

  • Chimera States in Complex Networks, by Schöll, E., Zakharova, A. and Andrzejak, R. G. (eds.), Research Topics, Front. Appl. Math. Stat. (Frontiers Media SA Lausanne, 2020) [53]  [54]
  • Chimera Patterns in Networks  -  Interplay between Dynamics, Structure, Noise, and Delay, by Zakharova, A. (Springer, 2020)  [55]   
  • Control of Self-Organizing Nonlinear Systems, (Springer, 2016) by Schöll, E., Klapp, S., and Hövel, P. (eds.) [56]
  • Nonlinear Laser Dynamics - From Quantum Dots to Cryptography, (Wiley-VCH, 2011) by Lüdge, K. (ed.) [57]
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