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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.

Lupe [3]
Lupe [4]
Lupe [5]

Invited Talk at the Annual Meeting of the National Academy of Sciences Leoploldina 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]

Lupe [9]

 

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

Lupe [11]
Lupe [12]

Chasing chimeras: control of complex networks [13]

Lupe [14]

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

Lupe [17]

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

Lupe [20]

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

Lupe [23]

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

 

Lupe [26]

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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