Apr 21, 2016 
Bernhard Brehm (FU Berlin)

Sensitivity of metabolic reaction networks 
We study the influence of rate perturbations on
reaction fluxes, at steady state, in general metabolic networks.
In particular we establish transitivity of flux influence
in the presence of multimolecular reactions.
We illustrate our results for several variants of
the tricarboxylic citric acid cycle (TCAC).
The results are joint work with Bernold Fiedler.

Apr 28, 2016 
Hannes Stuke (FU Berlin)

Blowup of traveling wave type 
In my talk I will discuss traveling wave solutions with blowup of the nonlinear heat equation. I want to address the question of the blowup profile and show, that the traveling waves can be continued after blowup in complex time. The complex time continuations introduce a Riemann surface of a logarithmic type.

May 12, 2016, 5 p.m. 
Prof. Dr. Arnd Scheel (University of Minnesota)

Coherent Structures in Nonlocal Equations 
I’ll present recent work on pulses and fronts in systems with nonlocal coupling. I’ll first discuss pinning and unpinning of fronts.
Near the Maxwell point, that is, when potential energies of the asymptotic states are close, interfaces are often discontinuous and
cannot propagate: they are pinned. I’ll describe results that characterize pinning regions in parameter space and and show that
speeds obey an unusual but universal µ^{3/2} asymptotic which is different from conventional µ^{1/2} asymptotics in discrete systems.
I’ll also give some motivation and speculation how speed asymptotics may depend in a universal fashion on kernel regularity
properties.
In the second part of the talk, I’ll explore some of the techniques involved in the study of such traveling wave problems.
In particular, I’ll explain how ’spatial dynamics’ tools can be ’translated’ to travelingwave problems that cannot be cast as
differential equations in a spatial variable. As an application, I’ll describe the construction of an excitation pulse in a nonlocal
FitzHughNagumo equation.
Note that this talk takes place at 17:15 h in EW 202 at TU Berlin as part of the Eugene Wigner Colloquium.

May 19, 2016 
Phillipo Lappicy (FU Berlin)

Symmetrization Property for differential equations on the sphere 
We are interested in scalar differential equations when the domain is the two dimensional sphere. In particular, how the spherical symmetry of the domain influences the symmetry of solutions.
The approach is an attempt to modify the well known moving plane method. We will discuss which results one should expect by imposing certain conditions on solutions. In particular, which conditions should yield axially symmetric solutions.

May 26, 2016 
Sylvain Mazas

Polymatics 
Polymatics grew from an idea to visualize mathematical concepts, especially prime and composite numbers. It started with doodles on a sketchbook that eventually became 6 meters wide drawings. Being a hobby musician, I looked further into the relation between music and mathematics, and – almost without noticing it – into algorithmic composition. My research is focused on the confrontation of prime numbers and chaos on the one side, composite numbers and harmony on the other side.
I consider myself more an illustrator than a mathematician and my research should be considered an experimental playground. However, unlike many Artists working with mathematics, my goal is not to use mathematics to create Art, but to understand artistic creation.
The drawings and music presented is the result of a one month Artistresidency at GEMAK, The Hague in 2015.
Pictures and videos of the project: http://marmouzet.net/polymaticsi

June 2, 2016 
Arne Gödeke

Disputation: A oneway function from thermodynamics and applications to cryptography 
Oneway functions are an essential building block of modern cryptographic
systems. Most oneway functions used in practice are based on number theoretic
constructions. Struwe and Hungerbühler proposed a new oneway function using the
evolution of the heat equation. This construction, its implementation and possible
applications will be explained.

Prof. Dr. Alan Rendall (Universität Mainz)

Dynamical systems arising from the Calvin cycle 
I will talk about various aspects of the dynamics of ODE models of the Calvin
cycle of photosynthesis, based on work done together with Juan Velazquez,
Dorothea Möhring and Stefan Disselnkötter. Issues discussed include
boundedness, persistence (whether concentrations can tend to zero
asymptotically) and existence and stability of steady states. The
modelling of this biological system is presented both because of its
intrinsic interest and because of the more general insights it provides
for the understanding of biochemical processes.

June 9, 2016 
Sascha Siegmund

Different approaches to flux sensitivity analysis in chemical reaction networks 
Alejandro Lopez Nieto

An approach to spindles on delay equations 
Ignacio González Betegón

Introduction to Ramsey Theory and applications 
The aim of this talk is to make an introduction to the Ramsey Theory, theme that I have worked in my Bachelor thesis this year. I would like to present some applications of this Theory and it would be interesting to discuss or find further applications related to Differential equations throw this branch of mathematics which tries to find some order in large enough sets.

Daniel Sarmiento Ferrera

Delayed Burger's equation 
June 16, 2016 
Sarah Loos (TU Berlin)

Probabilistic treatment of steady states of classical overdamped noisy systems with timedelay 
We explore possibilities to describe the dynamical behaviour of classical overdamped, noisy systems with a timedelayed feedback force (that depends on the system state at one earlier instant in time tτ) via probability densities. Due to the nonMarkovian character of such systems, there is no standard FokkerPlanck (FP) equation which corresponds to the (delayed) stochastic Langevin equation [1, 2]. In my talk, I will first review earlier theoretical work on how the FP approach for delayed systems yields an infinite hierarchy of coupled differential equations that involves ntime (joint) probability densities depending on an increasing number of instances in time n > ∞ [1]. Although these equations are not selfsufficient, they are a valuable starting point for approximation schemes. In particular, I will discuss a first order perturbationtheoretical approach [3] and its application to two exemplary systems involving a Brownian particle in a onedimensional potential with delayed feedback. We compare the perturbationtheoretical results with those from Brownian dynamics simulations of the underlying delayed Langevin equation. Further, we discuss properties of the twotime probability density, an essential ingredient for the first member of the delayed FP equation.
[1] S. Guillouzic et al., Phys. Rev. E 59, 3970 (1999).
[2] M. L. Rosinberg et al., Phys. Rev. E 91, 042114 (2015).
[3] T. D. Frank, Phys. Rev. E 71, 031106 (2005).

June 23, 2016 
Anna Karnauhova

Disputation:
Anosov Diffeomorphisms on Nil and InfraNilmanifolds 
Anosov diffeomorphisms are diffeomorphisms for which the whole manifold is a hyperbolic set. It has been conjectured that nil and infranilmanifolds are the only manifolds admitting Anosov diffeomorphisms. We present three guiding examples of Anosov diffeomorphisms: Arnol’d’s cat map living on a twodimensional torus, Steve Smale’s generalization to nilmanifolds from 1967 and Michael Shub’s generalization of Steve Smale’s example to infranilmanifolds from 1969.
2 p.m. Room E.31, Arnimallee 7

JiaYuan Dai

Existence of rotating spiral patterns of the complex GinzburgLandau equation on 2spheres. 
We show the existence of rotating spiral patterns, defined by a spiral ansatz, of the complex GinzburgLandau equation on 2spheres. In the proof we apply equivariant bifurcation results and study the kernel of the linear variational equation along each bifurcating solution
4 p.m. Room 130, Arnimallee 3

June 30, 2016 
Paul Dieckwisch

Bifurcation analysis of Einstein equations 
Adem Güngör

The TwoComponent Signaling Systems: two response regulator proteins compete for the phosphoryl group 
Daniel Lebede

Bifurcations in the MAP kinase cascade 
Xiaobei Ma

Analyzing Hopf Bifurcations and BogdanovTakens Bifurcations in Chemical Reactions Using Convex Coordinates

David Molle

A Lyapunov function for the delayed sunflower equation 
Ismail Yenilmez

Singularities in Burgers' equation 
July 7, 2016 
Rehearsal talks for the Conference „Patterns of Dynamics“

JiaYuan Dai

Existence of rotating spiral patterns of the complex GinzburgLandau equation on 2spheres 
Yuya Tokuta

Bioconvection patterns of Euglena gracilis 
Phillipo Lappicy

Einstein constraints: A dynamical approach 
Nicola Vassena

Monomolecular reaction networks: fluxinfluenced sets

July 14, 2016 
Rehearsal talks for the Conference „Patterns of Dynamics“

Mark Curran

Reactiondiffusion equations with hysteresis in higher
spatial dimensions 
Hannes Stuke

Blow up and complex time 
Anna Karnauhova

Sturm global attractors, seaweed Lie algebras and classical YangBaxter equation 
Bernhard Brehm

Sensitivity of metabolic reaction networks 
Nikita Begun

Dynamics of discrete time systems with the hysteresis stop operator
