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AG Nichtlineare Dynamik in Komplexen NetzwerkenSS 2020

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Important Information

The seminar will take place online via a video conferencing tool.

To enter the seminar room, follow this link:


The first seminar will take place on April 21st at 16:15.

Please register in ISIS to access the digital material.

If you have any problems, please send a message to Dr. Everton Medeiros at .

Seminar: Multilayer Networks: Applications and Related Concepts - Summer Term 2020


LV-Nr. 3233 L 611 Nichtlineare Dynamik in komplexen Netzwerken

Prof. Dr. Anna Zakharova, PhD

Dr. Everton S. Medeiros

Time: Tuesday 16:15 (c.t.) 

Room: ER 164
Begin: 21.04.20 Durch den Besuch der Veranstaltung mit Vortrag und Ausarbeitung können 4 ECTS Punkte erworben werden.

The seminar offers perspectives on our current research in the area of Nonlinear Dynamics in Complex Networks. 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.

In the last 10 years, many features of emergent solutions occurring in networked
nonlinear systems have come to light. For instance, a lot of works addressing
the existence and the stability (locally and globally) of spatiotemporal patterns
of synchronization have provided considerable progress in the field. However,
only very recently, a more realistic approach to the structure of networked systems
has been incorporated to consider interconnections heterogeneities among
different network domains, or layers. Such a description is called multilayer
networks. If different layers have the same number of nodes and there are no
cross-links between the layers, such a network is called a multiplex network.
Within the scope of this framework, a variety of new phenomena are being
provided together with a better understanding of, for example, ecological and
biological processes. In this context, the topics available for this seminar have
been selected to provide the audience with an understanding of theoretical and
phenomenological aspects of multilayer networks through concepts of nonlinear
dynamics and network theory. Some of the addressed subjects are the emergent
solutions of multilayered systems such as synchronization, solitary states, and
other cluster states; The control and the enhancement of coherence resonance in
noisy multilayered systems; A review for the unsolved problems in neuroscience;
The intrinsic multilayer nature of ecological networks and the occurrence of
transient phenomena in ecology; Some phenomenological aspects of networked
models of the brain and the heart.

Schedule and Organization: If you are interested in a particular topic, please contact one of the advisors. Final assignment of the topics will be done on 21.04.2020.



Introduction and organization

A. Zakharova and E. S. Medeiros


Revealing networks from dynamics: an introduction [TIM14]




Dynamic interdependence and competition in multilayer networks [DAN19]



The unsolved problems of neuroscience [ADO15]

Victor Rosty-Forgách


Interplay of Dissipative and Coherent Processes in Engineered Quantum Systems

Dr. Anja Metelmann, FU Berlin


Global Brain Dynamics Embed the Motor Command Sequence of Caenorhabditis elegans [KAT15]


Transient phenomena in ecology [HAS18] and in the heart dynamics [LILI18]

Lasse Bonn

The multilayer nature of ecological networks [PIL17]

 Ozan Sahin



The Turing bifurcation in network systems: Collective patterns and  single differentiated nodes [WOL12]

 Simon Zoller



Evidence for crisis-induced intermittency during geomagnetic superchron transitions

Dr. Breno Raphaldini - University of São Paulo


Prof. Igor Franović - University of Belgrade

Ranking the endangerment of pollinators

Lukas Halekotte - University of Oldenburg 

Guidance on written reports and feedback round
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 21.04.2019 verteilt.


AZ Prof. Dr. Anna Zakharova, PhD

EM Dr. Everton S. Medeiros
LS Leonhard Schülen, Msc
MC Maximiliano Contreras, Msc


[TIM14] Timme M., Casadiego J., Revealing networks from dynamics: an introduction. Journal of Physics A: Mathematical and Theoretical 47, 343001 (2014).

[DAN19] Danziger M. M., Bonamassa I., Boccaletti S., Havlin S., Dynamic interdependence and competition in multilayer networks. Nature Physics 15, 178 (2019).

[ADO15] Adolphs R., The unsolved problems of neuroscience. Trends in cognitive sciences 19, 173 (2015).

[PIL17] Pilosof S., Porter M. A., Pascual M., Kéfi S., The multilayer nature of ecological networks. Nature Ecology & Evolution 1, 1 (2017)

[KAT15] Kato s., Kaplan H. S., Schrödel T., Skora S., Lindsay T. H., Yemini E., Lockery S., Zimmer M., Global Brain Dynamics Embed the Motor Command Sequence of Caenorhabditis elegans. Cell 163, 656 (2015).

[HAS18] Hastings A. Abbott K. C., Cuddington K., Francis T., Gellner G., Lai Y.-C., Morozov A., Petrovskii S., Scranton K., Zeeman M. L., Transient phenomena in ecology. Science 361, 6412 (2018).

[LILI18] Lilienkamp T., Parlitz U., Terminal transient phase of chaotic transients. Phys. Rev. Lett. 120, 094101 (2018)

[WOL12] Wolfrum M., The Turing bifurcation in network systems: Collective patterns and single differentiated nodes. Physica D: Non. Phen. 241, 1351 (2012).

[HUT19] Hutchinson M. C., Bramon M. B., Pilosof S., Barner A. K., Kéfi S., Thébault E., Jordano P., Stouffer D. B., Seeing the forest for the trees: Putting multilayer networks to work for community ecology. Functional Ecology 33, 206 (2019).

[TEI19] Teichmann E., Rosenblum M., Solitary states and partial synchrony in oscillatory ensembles with attractive and repulsive interactions. Chaos: An Interdis. J. of Non. Sci. 29, 093124 (2019).

[MAJ19] Majhi S., Kapitaniak T., Ghosh D., Solitary states in multiplex networks owing to competing interactions. Chaos: An Interdis. J. of Non. Sci. 29, 013108 (2019).

[KU15] Ku W. L., Girvan M., Ott E., Dynamical transitions in large systems of mean field-coupled Landau-Stuart oscillators: Extensive chaos and cluster states. Chaos: An Interdis. J. of Non. Sci. 25, 123122 (2015).



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