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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]

Birth and stabilization of phase clusters by multiplexing of adaptive networks (Phys. Rev. Lett. 2020) [6]

Lupe [7]

 

Partial synchronization in empirical brain networks as a model for unihemispheric sleep (Europhys. Lett. 2019) [8]

Lupe [9]
Lupe [10]

Chasing chimeras: control of complex networks [11]

Lupe [12]

Coherence-Resonance Chimeras in a Network of Excitable Elements (Phys. Rev. Lett. 2016) [13]  [14]

Lupe [15]

A Tweezer for Chimeras in Small Networks (Phys. Rev. Lett. 2016) [16] [17]

Lupe [18]

Chimera Death: Symmetry Breaking in Dynamical Networks (Phys. Rev. Lett. 2014) [19] [20]

Lupe [21]

Quantum coherence induces pulse shape modification in a semiconductor optical amplifier at room temperature (Nature Communications 2013) [22] [23]

 

Lupe [24]

Theme Issue of the Philosophical Transactions of the Royal Society London "Dynamics, control and information in delay-coupled systems" (vol. 371, September 2013) [25]

 

Chimera states in dynamical networks (Nature Physics 2012) [26] [27] [28]

 

(highlighted in Physics Today 2012) [29],(longer print version) [30]



 

New Collaborative Research Center: Control of self-organizing nonlinear systems [31]


 

Tagesspiegel 20.09.2012 [32]


 

Handbook of Chaos Control (Wiley, 2008) [33], View online version [34]


 

Delayed Complex Systems: Theme Issue of Phil. Trans. Royal Society A (2010) [35]

 

Neural applications of chaos control (Nature Physics 2010) [36] [37] [38]


 

Broadband chaos in an optoelectronic oscillator with time-delayed feedback (highlighted in Nature 2010) [39] [40] [41]


 

 

Lecture Series on Chimeras, St. Petersburg, Russian Academy of Sciences 2018 [42]

Springer Outstanding Theses Series:

  • Jakub Sawicki: Delay controlled partial synchronization in complex networks, TU Berlin (Springer, 2019) [43]
  • Lina Jaurigue: Passively Mode-Locked Semiconductor Lasers, TU Berlin (Springer, 2017) [44]
  • Judith Lehnert: Controlling Synchronization Patterns in Complex Networks, (Springer, 2016) [45]

  • Benjamin Lingnau: Nonlinear and Nonequilibrium Dynamics of Quantum-Dot Optoelectronic Devices, (Springer, 2015) [46]

  • David Rosin: Dynamics of Complex Autonomous Boolean Networks, (Springer, 2015) [47]

  • Christian Otto: Dynamics of Quantum Dot Lasers, (Springer, 2014) [48]
  • Valentin Flunkert: Delay-Coupled Complex Systems and Applications to Lasers, (Springer, 2011) [49]

  • Philipp Hövel: Control of Complex Nonlinear Systems with Delay, (Springer, 2011) [50] 

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) [51]  [52]
  • Chimera Patterns in Networks  -  Interplay between Dynamics, Structure, Noise, and Delay, by Zakharova, A. (Springer, 2020)  [53]   
  • Control of Self-Organizing Nonlinear Systems, (Springer, 2016) by Schöll, E., Klapp, S., and Hövel, P. (eds.) [54]
  • Nonlinear Laser Dynamics - From Quantum Dots to Cryptography, (Wiley-VCH, 2011) by Lüdge, K. (ed.) [55]
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