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Important Information
The seminar will take place online via zoom.
Zoom link:
https://tu-berlin.zoom.us/j/65911650078?pwd=d05nUUJHa0cvbFlWM3huWnRCZFlFQT09
Meeting-ID: 659 1165 0078
Kenncode: 436996
Please register in ISIS to access the digital material.
The first seminar will take place on April 13th at 16:15.
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 eucaotico@gmail.com.
Seminar: Noise-induced phenomena in complex networks - Summer Term 2021
- © TU Berlin
LV-Nr. 3233 L 611 Nichtlineare Dynamik in komplexen Netzwerken
Prof. Dr. Anna Mandel-Zakharova, PhD
Dr. Everton S. Medeiros
Time: Tuesday 16:15
Venue: via Zoom
Begin: 13.04.21 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.
Nonlinear dynamical models, even in a purely deterministic form, can reproduce a variety of real-world observations. However, a realistic description of complex systems and networks requires the nonlinear models to account for random fluctuations, i.e., noise. Arising naturally in biological and technological systems, noise can significantly influence the dynamics and induce new regimes. Aiming an overview of this subject, in the seminar, we address the central question of how stochastic fluctuations interact with the features of nonlinear deterministic systems and produce an abundance of exclusive phenomena. For that, the proposed topics cover the state-of-the-art research in the field by approaching multidisciplinary concepts such as coherence and stochastic resonance in complex networks, noise-induced synchronization and desynchronization in networks, the interplay between noise and network coupling. Besides, we also provide more specific topics such as stimulus classification in networks of noisy Hodgkin-Huxley neurons and autapse-induced coherence resonance in neuronal networks.
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 13.04.2021.
Schedule
| Date | Title | Speaker | Advisor | |
|---|---|---|---|---|
| @ | 13.04.2021 | Introduction and organization | A. Mandel-Zakharova and E. S. Medeiros | |
| @ | 20.04.2021 | Theoretical introduction to noise-induced phenomena | L. Schülen and I. Phillips | |
| @ | 27.04.2021 | Coherence resonance in neuronal populations | Emre Baspinar | |
| @ | 04.05.2021 | Inhomogeneous synchronized states in the Kuramoto--Sakaguchi model with identical oscillators symmetrically coupled | Rene O. Medrano-T | |
| @ | 11.05.2021 | Linear Response in Complex Networks (with an Application to Renewable Power Grids) | Anton Plietzsch | |
| • | 18.05.2021 | Coherence resonance in a network of FitzHugh-Nagumo systems: interplay of noise, time-delay and topology [MAS17] | JF | |
| @ | 25.05.2021 | No Seminar (SIAM conference) | ||
| @ | 01.06.2021 | To be announced | Rico Berner | |
| • | 08.06.2021 | Stimulus classification using chimera-like states in a spiking neural network [AND20] | Daniel Krogmann | MM |
| • | 15.06.2021 | Noise-induced desynchronization and stochastic escape from equilibrium in complex networks [TYL19] | Phillip Nimphius | EM |
| • | 22.06.2021 | Interplay of coupling and common noise at the transition to synchrony in oscillator populations [PIM16] | Max Rosin | LS |
| • | 29.06.2021 | Noise-induced phase synchronization and synchronization transitions in chaotic oscillators [ZHO02] | Todd Hagen | IP |
| @ | 06.07.2021 | The impact of multi-node spatiotemporal correlated fluctuations on networks | Kirsten Engbring | |
| • | 13.07.2021 | Coherence resonance in influencer networks [TON21] | Andreas Kunke | EM |
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 13.04.2021.
Contact
AZ Prof. Dr. Anna Mandel-Zakharova, PhD
EM Dr. Everton S. Medeiros
LS Leonhard Schülen, Msc
MM Maria Mikhailenko, Msc
IP Iwan Phillips, Msc
JF Jonah Friederich, Bsc
References
[MAS17] Masoliver M., Malik N., Schöll E., Zakharova A., Coherence resonance in a network of FitzHugh-Nagumo systems: Interplay of noise, time-delay, and topology. Chaos: An Interdisciplinary Journal of Nonlinear Science 27, 101102 (2017).
[AND20] Andreev A. V., Ivanchenko M. V., Pisarchik A. N., Hramov A. E., Stimulus classification using chimera-like states in a spiking neural network. Chaos, Solitons & Fractals 139, 110061 (2020).
[TYL19] Tyloo M., Delabays R., Jacquod Ph., Noise-induced desynchronization and stochastic escape from equilibrium in complex networks. Phys. Rev. E 99, 062213 (2019).
[PIM16] Pimenova A. V., Goldobin D. S., Rosenblum M., Pikovsky A., Inter- play of coupling and common noise at the transition to synchrony in oscillator populations. Scientific Reports 6, 38518 (2016).
[ZHO02] Zhou C. and Kurths J., Noise-Induced Phase Synchronization and Synchronization Transitions in Chaotic Oscillators. Phys. Rev. Lett. 88, 4 (2002).
[DAS20] Das M. and Kantz H., Stochastic resonance and hysteresis in climate with state-dependent fluctuations. Phys. Rev. E 101, 062145 (2020).
[TON17] Tönjes R., Fiore C. E., Pereira T., Coherence resonance in influencer networks. Nature Communications, 72 (2021).
[YIL16] Yilmaz E., Ozer M., Baysal V., Perc M., Autapse-induced multiple coherence resonance in single neurons and neuronal networks. Scientific Reports, 30914 (2016).