Nonlinear Dynamics at the Free University Berlin

Witner 2024/25

Seminar Nonlinear Dynamics and Seminar Infinite-Dimensional Dynamics (Internal seminar)

Prof. Dr. Bernold Fiedler, PD Dr. Isabelle Schneider


Program



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October 17th Planning meeting We are planning the seminar talks for this semester.
Thursday, November 7th Hyeonjae Kim (Freie Universität Berlin) Immer der Nase nach: der geodätische Fluss
This is a student presentation and therefore does not include an abstract
Thursday, November 14th Abderrahim Azouani (Sultan Moulay Slimane University (Morocco)) Parameter estimation using continuous data assimilation methods
In this presentation, I will explore the application of the AOT (Azouani-Olson-Titi) continuous data assimilation algorithm, a method inspired by feedback control theory, to enhance parameter estimation in the SEIR (Susceptible-Exposed-Infectious-Recovered) epidemic model. Our primary focus is on accurately estimating the infection rate parameter, which is crucial for understanding and predicting the dynamics of epidemics. The presentation will showcase significant examples demonstrating the effectiveness of our proposed method. I will illustrate how the algorithm substantially improves the accuracy of parameter recovery, even when confronted with measurement errors and idealized model assumptions. This robustness underscores the potential of our approach in real-world scenarios where data is often imperfect. Furthermore, I will extend our discussion to the application of this method to the 2D Navier-Stokes equations, specifically in the context of unknown viscosity.
Thursday, November 21st Hyeonjae Kim (Freie Universität Berlin) Immer der Nase nach: der geodätische Fluss
This is a student presentation and therefore does not include an abstract.
Thursday, November 28th Johanna Rugen (Freie Universität Berlin) Bachelor defence: Kepler und die Weltharmonik
Jennifer Hirschberg (Freie Universität Berlin) Fibonacci und der Goldene Schnitt
Thursday, December 5th Marwa Hamesh (Freie Universität Berlin) Introduction to delay equations and method of steps
This is a student presentation and therefore does not include an abstract.
Thursday, December 12th Severin Bröckner (Freie Universität Berlin) Chaos beim Wetter: Die Lorenz-Gleichungen
This is a student presentation and therefore does not include an abstract.
hursday, December 19th Maximilian Glinka (Freie Universität Berlin) Twin semigroups and delay equations
This is a student presentation and therefore does not include an abstract.
Thursday, January 9th Jia-Yuan Dai (National Tsing Hua University, Taiwan) See the invisible Ginzburg-Landau spiral waves: Galerkin control approach (Part II)
This talk builds on the one presented on June 20, 2024, focusing on the challenge of stabilizing unstable solutions. In 2022, we introduced symmetry-breaking control with spatio-temporal delays to stabilize certain Ginzburg-Landau spiral waves. However, this method is limited by its inability to distinguish solutions with the same symmetry, preventing the stabilization of all spiral waves. To address this limitation, we propose Galerkin control, which can differentiate a broader range of solutions. This approach, however, seems to rely on additional information, such as the bifurcation structure of spiral waves and the nodal properties of their amplitudes. This ongoing research is in collaboration with Dr. Isabelle Schneider.
Thursday, January 23rd Natalia Albizu (Freie Universit¨t;t Berlin) Romeo and Juliet: Turing instability in love
This is a student presentation and therefore does not include an abstract.
Thursday, January 30 Rumeysa Cok (Freie Universität Berlin) Kuramoto-Modell: Einführung und Grundlagen
This is a student presentation and therefore does not include an abstract.

Time and Place

Talks usually take place on Thursdays at 14:15, SR 140 in Arnimallee 7, 14195 Berlin

Guests are always welcome!


Archive

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