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Seminar: Dynamics of multilayer networks - Winter Term 2018/19
- © TU Berlin
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 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
| Datum | Titel | Vortragender | Betreuer |
|---|---|---|---|
| 16.10. | Vorbesprechung und Einführung | 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 (Universitat Münster) | |
| 27.11. | Mathematical formulation of multilayer networks [DOM13] | Rico Berner | |
| 04.12. | | Prof. Vadim Anishchenko, Saratov State University | |
| 11.12. | Multiplexing induced Explosive Synchronization in Complex Networks | Prof. Sarika Jalan IIT Indore, India | |
| 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. | Partial relay synchronization of chimera states | Dávid Mezey | IO |
| 29.01. | Pattern formation in multiplex networks [KOU15] | Julian Peters | IO |
| 05.02. | Relay synchronization in multiplex networks [LEY18] | Fenja Drauschke | JS |
| 12.02. | Temperature-dependent change in synchronization behavior of neuronal networks [HES17] | Ludmila Litvin | JS |
| 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).
[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).