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


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 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.

Zeitlicher Ablauf


Vorbesprechung und Einführung
E. Schöll, A. Zakharova, I. Omelchenko
Partial synchronization in two-community networks of FitzHugh-Nagumo oscillators with empirical structural connectivities 

Lukas Ramlow 
Multilayer modeling and analysis of human brain networks [DOM17] 

Louris Evangelos
Synchronization of chimera states in multiplex networks of logistic maps 

Marius Winkler
Assessing diversity in multiplex networks [CAR18a] 

Jan Fialkowski
On the impact of stochastic wind feed-in on power grid stability and frequency quality 

Katrin Schmietendorf (Universitat Münster) 
Mathematical formulation of multilayer networks [DOM13]

Rico Berner

Prof. Vadim Anishchenko, Saratov State University
Multiplexing induced Explosive Synchronization in Complex Networks

Prof. Sarika Jalan IIT Indore, India
Multilayer motif analysis of brain networks [BAT17] 

Simon Vock
Macroscopic chimeralike behavior in a multiplex network [FRO18] 

Philippe Lehmann
Chimera states in a multilayer network of coupled and uncoupled neurons [MAJ17] 

Luciano Zickler Paz

Partial relay synchronization of chimera states

Dávid Mezey
Pattern formation in multiplex networks [KOU15] 

Julian Peters
Relay synchronization in multiplex networks [LEY18]

Fenja Drauschke
Temperature-dependent change in synchronization behavior of neuronal networks [HES17] 

Ludmila Litvin
Wer Interesse an einem Vortrag hat, sollte sich mit den entsprechenden Betreuern in Verbindung setzen. Die Vortragsthemen werden dann spätestens in der ersten Seminarstunde am 16.10.2018 verteilt.




Literatur zu den Vorträgen

[DOM17] De Domenico M. Multilayer modeling and analysis of human brain networks, GigaScience, 6, 1 (2017).

[CAR18a] Carpi L.C., Schieber T.A., Pardalos P.M., Marfany G., Masoller C., Díaz-Guilera A. and Ravetti M.G. Assessing diversity in multiplex networks, arXiv:1805.12350 (2018).

[KRI10] Krioukov D., Papadopoulos F., Kitsak M., Vahdat A., and Boguñá M. Hyperbolic geometry of complex networks, Phys. Rev. E, 82, 036106 (2010).

[KLE16] Kleineberg K., Boguñá M., Serrano M.A., and Papadopoulos F. Hid- den geometric correlations in real multiplex networks, Nature Physics, 12, 1076 (2016).

[DOM13] De Domenico M., Solé-Ribalta A., Cozzo E., Kivelä M., Moreno Y., Porter M.A., Gómez S., and Arenas A. Mathematical Formulation of Multilayer Networks, Phys. Rev. X, 3, 041022 (2013).

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

[FRO18] Frolov N.S., Maksimenko V.A., Makarov V.V., Kirsanov D.V., Hra- mov A.E., and Kurths J. Macroscopic chimeralike behavior in a multiplex network Phys. Rev. E, 98, 022320 (2018).

[MAJ17] Majhi S., Perc M., and Ghosh D. Chimera states in a multilayer network of coupled and uncoupled neurons, Chaos, 27, 073109 (2017).

[ZHA15a] Zhang X., Boccaletti S., Guan S., and Liu Z. Explosive Synchronizati- on in Adaptive and Multilayer Networks, Phys. Rev. Letters, 114, 038701 (2015).

[KOU15] Kouvaris N.E., Hata S., and Diaz-Guilera A., Pattern formation in multiplex networks, Sci. Rep., 5, 10840 (2015).

[LEY18] Leyva I., Sendiña-Nadal I., Sevilla-Escoboza R., Vera-Avila V.P., Chholak P., and Boccaletti S. Relay synchronization in multiplex networks, Sci. Rep., 8, 8629 (2018).

[SAW18c] Sawicki J., Omelchenko I., Zakharova A., and Schöll E. Delay con- trols chimera relay synchronization in multiplex networks, arXiv:1807.11223 (2018).

[HES17]  Hesse, J., Schleimer, J.-H. and Schreiber, S. , Qualitative changes in phase-response curve and synchronization at the saddle-node-loop bifurcation, Phys. Rev. E 95, 052203-1 (2017).



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