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Seminar: Synchronization Patterns in Complex Networks: Chimera States and Beyond - Summer term 2016

Seminar:  Synchronization Patterns in Complex Networks: Chimera States and Beyond
Summer Term 2016
LV-Nr. 3233 L 606

Prof. Dr. Eckehard Schöll, PhD
Prof. Dr. Yuri Maistrenko
Prof. Dr. Kathy Lüdge
Dr. Anna Zakharova, Dr. Philipp Hövel

Time: Tuesday, 16:00
Room: EW 731
Begin: 19 April 2016

Visiting the seminar corresponds to 3 ECTS points. In combination with the talk and a written elaboration the seminar yields a total of 5 ECTS points.

The seminar offers perspectives on our current research in the area of Nonlinear Dynamics and Control. The seminar is particularly suitable for BSc and MSc students looking for a final project. Students, who want to obtain a "Seminarschein", are welcome as well.
Collective behavior of coupled nonlinear dynamical systems can take diverse forms, ranging from various synchronization patterns and oscillation suppression to chimera states, which have recently received interest of many researchers. Chimera states in complex dynamical networks represent a phenomenon which can be found in different fields such as physics, chemistry and biology. Chimeras are made up of spatially separated domains of synchronized (spatially coherent) and desynchronized (spatially incoherent) behavior. They arise surprisingly in networks of completely identical units and symmetric coupling topologies. These intriguing patterns are named after a fabulous fire-breathing creature from Greek mythology which has a lion's, a goat's, and a snake's head. As the counter intuitive dynamical state this monster is also composed of incongruous parts. The seminar will focus on various synchronization patterns, chimera states and their applications in diverse fields such as physics, e.g., coupled lasers, biology, e.g., neural networks in the brain, and engineering, e.g., power grids.

Synchronization Patterns in Complex Networks: Chimera States and Beyond

Schedule

Datum
Titel
Vortragender
Betreuer
19.04.

Introduction
E. Schöll, Y. Maistrenko, K. Lüdge, A. Zakharova, P. Hövel
26.04.

Nonlinear delay differential equations with a slow integral term: fundamental issues & applications in photonic, link
Laurent Larger (Besancon)
YM
03.05*

Oscillation suppression in multi-delay systems [JAU16a]
Lina Jaurigue
KL
10.05.

Control of Oscillator Networks with Symbolic Regression, link
Markus Abel (Potsdam)
ES
17.05.*

Chimera states in hierarchical networks [ULO16]
Jakub Sawicki
IO, AZ
24.05.*

Quantum chimera states 
[BAS15, BAS16]
Eckehard Schöll
31.05.*

Chimeras in neural networks: the role of excitable units [ISE15b]
Moritz Drangmeister
PH
07.06.

Dynamics Days Corfu: no seminar
14.06.*

Cluster synchronization and chimeras states in laser networks [DAH11b, DAH12, BOE15]
Halgurd Taher
BL
21.06.*

Chimeras in neural networks with community structure [HIZ16]
Philipp Loske
PH
28.06.*

Coherence-resonance chimeras in a neural network [SEM16]
Alexander zur
Bonsen
AZ
05.07.*

Tweezers for chimeras in small networks [OME16]
Sebastian Lange
IO
12.07.*

Chimera state collapses and epileptic seizures [AND16]
Teresa Chouzouris
JL
19.07.*

Controlling chimera states [BIC15, SIE14c]
Alexander Schmidt
JL
Talks marked by * are suitable for students who want to obtain a “Seminarschein”.
If you are interested in a particular topic, please contact one of the advisors. Final assignment of the topics will be done on April 19, 2016.
The presentations are available online at "Seminardokumentationen". Login and password will be announced in the seminar and can be inquired at .

Contacts

References

  • [AND16] Andrzejak, R. G. , Rummel, C., Mormann, F. and Schindler, K.: All together now: Analogies between chimera state collapses and epileptic seizures, Sci. Rep. 6, 23000 (2016)
  • [BAS15] V. M. Bastidas, I. Omelchenko, A. Zakharova, E. Schöll, T. Brandes: Quantum signatures of Chimera states, arXiv:1505.02639v1 [quant-ph] (2015).
  • [BAS16] V. M. Bastidas, I. Omelchenko, A. Zakharova, E. Schöll, T. Brandes: “Chimera states in quantum mechanics” in E. Schöll, S. H. L. Klapp, P. Hövel (ed.) Control of Self-Organizing Nonlinear Systems, Berlin, Heidelberg: Springer (2016).
  • [BIC15] C. Bick, E. A. Martens: Controlling chimeras, New J. Phys. 17, 033030 (2015).
  • [HIZ16] Hizanidis, J. , Kouvaris, N.~E., Zamora-López, G. , Díaz-Guilera, Albert and Antonopoulos, Ch.: Chimera-like states in modular neural networks, Sci. Rep. 6, 19845 (2016)
  • [ISE15b] Isele, T. M., Hizanidis, J. , Provata, A. and Hövel, P.: Controlling Chimera States: The influence of excitable units, Phys. Rev.~E 93, 2, 022217 (2016)
  • [JAU16a] Jaurigue, L . C., Schöll, E. and Lüdge, K.: Oscillation suppression in multi-delay systems, In preparation (2016)
  • [OME16] Omelchenko, I., Omel'chenko, O., Zakharova, A. , Wolfrum, M. and Schöll, E.: Tweezers for Chimeras in Small Networks, Phys. Rev. Lett. 116, 114101 (2016)
  • [SEM16] Semenova, N., Zakharova, A. , Anishchenko, V. S. and Schöll, E.: Coherence-resonance chimeras in a network of excitable elements, arXiv:1512.07036v2 [nlin.AO] (2016)
  • [SIE14c] Sieber, J., Omel'chenko, O. and Wolfrum, M.: Controlling Unstable Chaos: Stabilizing Chimera States by Feedback, Phys. Rev. Lett. 112, 054102 (2014)
  • [ULO16] Ulonska, S., Omelchenko, I., Zakharova, A. and Schöll, E.: Chimera states in hierarchical networks of Van der Pol oscillators, arXiv:1603.00171 (2016)

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