Inhalt des Dokuments
The seminar will take place online via zoom.
To enter the seminar room, follow this zoom link:
The first seminar will take place on November 3rd at 16:15.
Please register in ISIS to access the digital material.
Credit points: Those who want to give a talk on the selected topic and receive credit points must register for the seminar on SAP before the talk.
If you have any problems, please send a message to Dr. Everton Medeiros at firstname.lastname@example.org .
Seminar: Critical transitions in complex networks - Winter Term 2020/21
- © TU Berlin
LV-Nr. 3233 L 611 Nichtlineare Dynamik in komplexen Netzwerken
Prof. Dr. Anna Zakharova, PhD
Dr. Everton S. Medeiros
Time: Tuesday 16:00 (c.t.)
Room: ER 164
Begin: 3.11.20 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 field 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 general, the normal functioning of complex systems relies on a
variety of factors ranging from the internal conditions to the
characteristics of the surrounding environment. Fortunately, the
stabilization mechanisms of such systems prevent failures for mild
changes in the underlying functioning conditions. However, systematic
variations of such actuation parameters may bring complex systems to
stability thresholds at which any further parameter change, or any
small external disturbances, can cause the sudden collapse of the
system’s normal behavior.
Such critical transitions may occur in a large variety of contexts. For example, in ecology, these transitions may imply the collapse of mutualistic relations among species. In climate dynamics, they can disrupt the Atlantic thermohaline circulation. In technological devices, the transitions may expose power-grids to regimes of high susceptibility to failures. In such a transdisciplinary scenario, the framework of dynamical systems combined with complex networks is usually applied to develop means for the detection, suppression, or at least, provide early-warning signals for critical transitions.
With this, in this seminar, we offer an overview of such critical transitions from the perspective of nonlinear systems addressing concepts such as local and global stability, bifurcations, multistability, chaos, control, among others. The available topics range from the critical functioning of the brain and explosive synchronization in multilayer networks to cascade failures in power-grids and tipping elements of the Earth’s climate. Moreover, the approaches among the proposed topics are diversified in lab experiments, mathematical models, and analysis of real-world data.
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 03.11.2020.
and organization||AZ and EM|
|@||10.11.2020||Investigating the Risk
of Hurricane-Induced Cascading Failures in Power Systems of the U.S.
East Coast||Julian Stürmer|
|@||17.11.2020||Edges of inter-layer synchronization in a time switching
|•||24.11.2020||Explosive Synchronization in Adaptive and Multilayer
Networks [ZHA15]||Iwan Phillips||EM|
|•||01.12.2020||Criticality in the brain: A synthesis of neurobiology,
models and cognition [COC17]||Max
|•||08.12.2020||Network-induced multistability through lossy coupling and
exotic solitary states [HEL20]||Leonhard
|•||15.12.2020||Rate-induced tipping in ecological systems||Anna Vanselow|
Benefits of Criticality in the Cortex||Ben
|•||12.01.2021||Control of inter-layer
synchronization by multiplexing noise [VAD20]||Leander Rolef||LS|
|•||19.01.2021||Low-dimensional dynamics of networks of stochastic spiking
|•||26.01.2021||2-Cluster Fixed-Point Analysis of Mean-Coupled
Stuart-Landau Oscillators in the Center Manifold||Felix Kemeth|
|•||02.02.2021 ||Recurrence properties of a
spatially extended food-chain||Leonard
|•||09.02.2021||Predicting tipping points in mutualistic networks through
dimension reduction [JIA18]||Jonah
in populations of non-excitable units||Simona
|•||23.02.2021||Network dynamics of drought-induced tipping cascades in
the Amazon rainforest||Nico Wunderling|
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 03.11.2020.
AZ Prof. Dr. Anna Zakharova, PhD 
LS Leonhard Schülen, MSc
MC Maximiliano Contreras, MSc
[JIA18] Jiang J., Huang Z., Seager T. P., Lin W.,
Grebogi C., Hastings A. Lai Y-C., Predicting tipping points in
mutualistic networks through dimension reduction. Proceedings of the
National Academy of Sciences 115, E639 (2018)
[COC17] Cocchi L., Gollo L. L., Zalesky A., Breakspear M., Criticality in the brain: A synthesis of neurobiology, models and cognition. Progress in neurobiology 158, 132 (2017).
[HEL20] Hellmann F., Schultz P., Jaros P., Levchenko R. Kapitaniak T., Kurths J., Maistrenko Y., Network-induced multistability through lossy coupling and exotic solitary states. Nature Communications 11, 1 (2020)
[DAI12] Dai L., Vorselen D., Korolev K. S., Gore J., Generic Indicators for Loss of Resilience Before a Tipping Point Leading to Population Collapse. Science 336, 1175 (2012)
[WIL19] Wilting J., Priesemann V., Between Perfectly Critical and Fully Irregular: A Reverberating Model Captures and Predicts Cortical Spike Propagation. Cerebral Cortex 29, 2759 (2019)
[VAD20] Vadivasova T. E., Slepnev A. V., Zakharova A., Control of inter-layer synchronization by multiplexing noise. Chaos: An Interdisciplinary Journal of Nonlinear Science 30, 091101 (2020)
[LEN11] Lenton T. M., Early warning of climate tipping points. Nature Climate Change 1, 201 (2011)
[EZA20] Ezaki T., Dos Reis E. F., Watanabe T., Sakaki M., Masuda N., Closer to critical resting-state neural dynamics in individuals with higher fluid intelligence. Communications biology 3, 1 (2020)
[BAP16] Baptista M. S., Szmoski R. M., Pereira R. F., de Souza Pinto S. E., Chaotic, informational and synchronous behaviour of multiplex networks. Scientific Reports 6, 22617 (2016)
[ZHA15] Zhang X., Boccaletti S., Guan S., Liu Z., Explosive Synchronization in Adaptive and Multilayer Networks. Phys. Rev. Lett. 114, 038701 (2015)
[BEG12] Beggs J. M., Timme N., Being critical of criticality in the brain. Frontiers in physiology 3, 163 (2012)
[SCH18] Schäfer B., Witthaut D., Timme M., Latora V. Dynamically induced cascading failures in power grids. Nature Communications 9, 1 (2018)