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Seminar: Dynamics of multilayer networks - Winter Term 2018/19

Lupe

LV-Nr. 3233 L 606

Prof. Dr. Eckehard Schöll, PhD
Dr. Anna Zakharova
Dr. Iryna Omelchenko

Time: Tuesday 16:15 (c.t.) 
Room: EW 731
Begin: 16.10.2018

Durch den Besuch der Veranstaltung mit Vortrag und Ausarbeitung können 5 ECTS Punkte erworben werden.

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.

 

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. The nonlinear dynamics on multilayer networks is a field of active research with wide range of applications in physics, chemistry, biology, technology, for instance neuronal networks, coupled lasers, power grids, transportation networks, or social networks. In brain networks, for example, functional and structural connectivities can be seen as layers of a complex multilayer structure. In the focus of the seminar will be recent studies of multilayer networks, collective dynamics and synchronization of patterns. We will pay attention to dynamical properties of multilayer networks, role of symmetries, control of multilayer and multiplex networks, as well as their various applications.

Schedule

Date
Title
Speaker
Advisor
16.10.

Introduction and organization
E. Schöll, A. Zakharova, I. Omelchenko
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 16.10.2018.  

 

 

Contacts

References

[BAT14] Battiston, F., Nicosia, V. and Latora, V., Structural measures for multiplex networks, Phys. Rev. E 89, 032804 (2014).

[ZHA17] Zhang, L., Motter, A. E. and Nishikawa, T., Incoherence-Mediated Remote Synchronization, Phys. Rev. Lett. 118, 174102 (2017).

[LEY17a] Leyva, I., Sevilla-Escoboza, R., Sendina-Nadal, I., Gutierrez, R., Buldu, J. M. and Boccaletti, S., Inter-layer synchronization in non-identical multi-layer networks, Sci. Rep. 7:45475 (2017).

[BAT17] Battiston, F., Nicosia, V., Chavez, M. and Latora, V., Multilayer motif analysis of brain networks, Chaos 27, 047404 (2017).

[PEC14] Pecora, L. M., Sorrentino, F., Hagerstrom, A. M., Murphy, T. E. and Roy, R., Symmetries, Cluster Synchronization, and Isolated Desynchronization in Complex Networks, Nature Commun. 5, 4079 (2014).

[SOR16a] Sorrentino, F., Pecora, L. M., Hagerstrom, A. M., Murphy, T. E. and Roy, R., Complete characterization of the stability of cluster synchronization in complex dynamical networks, Sci. Adv. 2, e1501737 (2016).

[NIC15] Nicosia, V. and Latora, V., Measuring and modeling correlations in multiplex networks, Phys. Rev. E 92, 032805 (2015).

[NIC13] Nicosia, V., Valencia, M., Chavez, M., Diaz-Guilera, A. and Latora, V., Remote Synchronization Reveals Network Symmetries and Functional Modules, Phys. Rev. Lett. 110, 174102 (2013).

[MAR09c] Marvel, S. A., Mirollo, R. E. and Strogatz, S. H., Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action, Chaos 19, 043104 (2009).

[WAT93a] Watanabe, S. and Strogatz, S. H., Integrability of a Globally Coupled Oscillator Array, Phys. Rev. Lett. 70, 2391 (1993).

[STE11b] Stewart, I., Phase oscillators with sinusoidal coupling interpreted in terms of projective geometry, Int. J. Bif. and Chaos 21, 1795 (2011).

[ZHA17a] Zhang, Y., Nishikawa, T. and Motter, A. E., Asymmetry-induced synchronization in oscillator networks, Phys. Rev. E 95, 062215 (2017).

[MAC09a] MacArthur, B.D. and Sanchez-Garcia, R.J., Spectral characteristics of network redundancy, Phys. Rev. E 80, 026117 (2009).

[YAM17] Yamakou, M. E. and Jost, J., Weak-noise-induced transitions with inhibition and modulation of neural oscillations, ArXiv: 1706.00293 (2017).

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