Nonlinear Dynamics at the Free University Berlin

Summer 2018

Seminar Advanced Topics in Nonlinear Dynamics

Prof. Dr. Bernold Fiedler, Dr. Isabelle Schneider


Program

19.04.2018 Mark Curran, Freie Universität Berlin The Hysteretic Limit of a Partial Differential Equation with a Small Parameter
We consider a reaction-diffusion equation with an ensemble of hysteresis operators defined at every spatial point. We associated to this PDE in one variable, a system consisting of one PDE and an ensemble of ODEs defined at every spatial point. More specifically, we replace each of the individual hysteresis operators in the original PDE with a Van der Pol oscillator.
26.04.2018 Poster preliminary discussion SFB910
03.05.2018 Paul Diekwisch, Free University Berlin The Global Attractor Conjecture - The subtle difference between global and local asymptotic stability.
Yuya Tokuta, Free University Berlin Turing instability of bioconvection generated by Euglena gracilis
Microorganisms are known to form spatiotemporal patterns similar to those formed in the Rayleigh-Bénard model for thermal convection. Among such, Euglena gracilis form distinct patterns induced by phototaxes and sensitivity to the gradient of the light intensity. Mathematical analysis of patterns under stationary and oscillatory illumination conditions is in progress and we will discuss Turing instability of the system.
17.05.2018 Nicola Vassena, Free University Berlin Sensitivity of Chemical Reaction Networks: metabolite perturbation
In my previous talks we have addressed and analyzed - under various aspects - the network response to small perturbations of REACTION FLUXES, at equilibrium. In the talk of today I will introduce the absolutely new topic of METABOLITE perturbation. We consider namely small perturbations of the metabolite concentration itself and we investigated possible results, as well as underline different and common aspects with the already developed theory.
Date Nicola Vassena, Alejandro Lopez Nieto, and Isabelle Schneider (FU Berlin) Spatio-temporal patterns: control, delays, and design
We present our poster for the upcoming review of SFB 910. Everyone is invited to ask question and give constructive criticism!
Date Speaker Title
Abstract

Time and Place

Talks usually take place on Thursday at 2:15 p.m.
at the Free University Berlin
Room 140, Arnimallee 7 (rear building), 14195 Berlin.

Guests are always welcome!


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