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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 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
Supervisor
16.10.

Introduction and organization 

E. Schöll, A. Zakharova, I. Omelchenko
23.10.
Partial synchronization in two-community networks of FitzHugh-Nagumo oscillators with empirical structural connectivities 

Lukas Ramlow 
30.10.
Multilayer modeling and analysis of human brain networks [DOM17] 

Louris Evangelos
AZ
06.11.
Synchronization of chimera states in multiplex networks of logistic maps 

Marius Winkler
13.11.
Assessing diversity in multiplex networks [CAR18a] 

Jan Fialkowski
AZ
20.11.
On the impact of stochastic wind feed-in on power grid stability and frequency quality 

Katrin Schmietendorf (Universität Münster) 
27.11.
Hidden geometric correlations in real multiplex networks [KLE16]

RB
04.12.

Prof. Vadim AnishchenkoSaratov State University
11.12.
Mathematical formulation of multilayer networks [DOM13] 

RB
18.12.
Multilayer motif analysis of brain networks [BAT17] 

Simon Vock
JS
08.01
Macroscopic chimeralike behavior in a multiplex network [FRO18] 

Philippe Lehmann
IO
15.01.
Chimera states in a multilayer network of coupled and uncoupled neurons [MAJ17] 

Luciano Zickler Paz
AZ
22.01.
Explosive synchronization in adaptive and multilayer networks [ZHA15a] 

Fenja Drauschke
IO
29.01.
Pattern formation in multiplex networks [KOU15] 

Julian Peters
IO
05.02.
Relay synchronization in multiplex networks [LEY18] 

JS
12.02.
Delay controls chimera relay synchronization in multiplex networks [SAW18c] 

JS
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

[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).

 

 

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