Oct 17, 2013 
Isabelle Schneider and Matthias Bosewitz (Free University Berlin) 
Timedelayed feedback control design beyond the oddnumber limitation 
We present a recent paper by K. Pyragas and V. Novicenko where they
discuss necessary conditions for successful Pyragas control.
The publication continues Hooton and Amann's work on a new oddnumber
limitation for autonomous dynamical systems.
The main tool is the comparison of proportional with timedelayed feedback
control.

Oct 24, 2013 
JiaYuan Dai (Free University Berlin) 
Existence of spiral ansatz for the complex GinzburgLandau equation 
The purpose of this talk is to find a suitable spiral ansatz for
the complex GinzburgLandau equation (CGLe) and solve for it.
Firstly a proof for existence of a spiral ansatz based on the work
of N. Kopell and L. Howard (1981) and J. Greenberg (1982) is
presented, and then a spiral ansatz on a sphere, which reduces the
CGLe into a nonautonomous ODE system with singularities at
north/south poles, is posed and discussed.

Oct 31, 2013 
Bernhard Brehm (Free University Berlin) 
Shadowing based analysis of Bianchi 9 vacuum dynamics 
Since I have over the years given several talks about Bianchi in
the internal seminar, I should provide some context for this talk.
I claimed several ``trivial'' qualitative results on Bianchi,
which ``ought to be folklore'' and which provide much needed
context and motivation for the hard analysis style estimates which
I am pursuing.
These qualitative results turned out to be not quite as trivial as
I had claimed and seem to be not covered in the previous
literature. Combined with the usual mission creep found in any
study, this let the qualitative shadowing based analysis of
Bianchi dynamics grow to its own project, the first fruit of which
I am going to present.

Nov 7, 2013 
Phillipo Lappicy (Free University Berlin) 
Einstein equations and the black hole problem 
In this talk I'll present an overview of the Einstein equations
and provide ideas to show its wellposedness. Lastly, I'll state
the black hole initial data problem and how to tackle it.

Nov 21, 2013 
Antonio Politi (University of Aberdeen, UK) 
Coarsening processes in Discrete Nonlinear Schroedingertype models 
The Discrete Nonlinear Schroedinger equation (DNLSE) is a
paradigmatic model used to describe both BoseEinstein condensates
and propagation in waveguides. The DNLSE behaviour is discussed
from the point of view of statistical mechanics, with a particular
emphasis given to the convergence to the equilibrium state in the
regime of the socalled negative (absolute) temperatures. The
observed coarsening is studied with the help of simplified models
of exclusionprocess type.

Nov 21, 2013 
Stefan Liebscher (Free University Berlin) 
Geometries of the projective plane 
The projective space provides a unified approach to different types of geometries.
This can be a great help to our intuition when dealing with problems in
(differential) geometry beyond tensor algebra. In this talk with computer experiments
I will introduce some of the features of the projective plane and discuss
connections to geodesic flows and parallel transport.

Dec 5, 2013 
Juliette Hell (Free University Berlin) 
Bistability for MAPkinase dual futile cycle 
This is a joint work with Alan Rendall.
MAPkinase plays an
important role in cell signaling. It is a proteine that undergoes
a cascade of phosphorylations. One level of this cascade consists
of the dual futile cycle. We prove bistability in the dual futile
cycle via cuspbifurcation both for the
MichaelisMentenviamassaction model (MMMA), where enzymes are
explicitly included, and the MichaelisMenten model (MM, which is
a singular limit of the MMMA where enzymes are simplified away).
This is the first step in order to prove relaxationoscillations
in the complete cascade.

Dec 12, 2013 
Atsushi Mochizuki, Bernold Fiedler (RIKEN, Tokyo; Free University Berlin) 
Rate sensitivity analysis of chemical reaction networks: a public discussion 

Jan 30, 2014 
Mark Curran, Konstantin Bubolz, Anna Karnauhova (Free University Berlin) 
Ongoing research 

Jan 30, 2014 
Nikita Begun (SaintPetersburg State University, Russia) 
Perturbations of attractors 

Feb 13, 2014 
Nikita Begun (SaintPetersburg State University, Russia) 
Onedimensional chaos in a system with dry friction 
We introduce a new analytical method which allows one to find
chaotic dynamics in nonsmooth dynamical systems. A simple
mechanical system consisting of a mass and a dry friction element
is considered as an example. We prove the existence of an infinite
set of periodic points of arbitrarily large periods.

Feb 13, 2014 
Hannes Stuke (FU Berlin) 
PDE solutions beyond the blowup 
In this talk I attempt to prove two theorems concerning the
possibility of analytic continuation of PDE solutions after
blowup:
1. There exists a small neighborhood of the real time axis such
that the solution is analytic up to the blowup.
2. Under relatively moderate assumptions on the blowup, it is
possible to analytically continue beyond the blowup.
If there is still time left, I will outline further results and
research directions arising from an interplay of Hardy space
theory and semigroups.
