Oct 14, 2008 
Victor Tkachenko (Academy of Sciences, Kiev) 
Slowly oscillating wave solutions of a singlespecies
reactiondiffusion equation with delay 
14:45, Free Unversity Berlin, Arnimallee 7, 14195 Berlin, Room 140 
SFB 647 
Oct 21, 2008 
Alexey Teplinsky (Academy of Sciences, Kiev) 
Smooth conjugacy of circle diffeomorphisms with singularities 
Oct 28, 2008 
Grigory Bordyugov (Universität Potsdam) 
Response functions of spiral waves 
Nov 04, 2008 
SFB 647 
Nov 11, 2008 
Nitsan BenGal (FUB / Brown University) 
Asymptotics of GrowUp Solutions and Global Attractors of NonDissipative PDEs 
There has been a great deal of work in recent years on the asymptotics of
solutions to scalar parabolic pdes which remain bounded or blow up in
finite time. In this talk we will discuss recent results addressing the
boundary case of growup solutions. These results allow for a thorough
understanding of the asymptotics of growup solutions and a complete
decomposition of the global attractor for the ensuing nondissipative
reactiondiffusion systems.

Nov 18, 2008 
Workshop on Complex Dynamics in Large Coupled Systems 
Nov 25, 2008 
SFB 647 
Dec 02, 2008 
George R. Sell (University of Minnesota) 
On the theory and applications of the longtime dynamics of 3dimensional fluid flows on thin domains 
The current theory of global attractors for the NavierStokes equations on thin
3D domains is motivated by the desire to
better understand the theory of heat transfer in the oceans
of the Earth. (In this context, the thinness refers to the
aspect ratio  depth divided by expanse  of the oceans.) The issue of heat
transfer is, of course, closely connected with many of the major questions
concerning the climate. In order to exploit the tools of modern dynamical
systems in this study, one needs to know that the global attractors are "good"
in the sense that the nonlinearities are Frechet differentiable on these
attractors.
About 20 years ago, it was discovered that on certain thin 3D
domains, the NavierStokes equations did possess good global attractors. This
discovery, which was itself a major milestone in the study of the 3D
NavierStokes equations, left open the matter of extending the theory to cover
oceaniclike regions with the appropriate physical boundary behavior. In this
lecture, we will review this theory, and the connections with climate modeling,
while placing special emphasis on the recent developments for fluid flows with
the Navier (or slip) boundary conditions.

Dec 09, 2008 
Frank Schilder (University of Surrey) 
Computational bifurcation analysis of Hamiltonian
relative periodic orbits 
Dec 16, 2008 
SFB 647 
Jan 13, 2009 
SFB 647 
Jan 20, 2009 
Juleitte Hell (Freie Universität Berlin 
Conley Index at Infinity 
We interpret blow up phenomena as heteroclinic connections to infinity
and propose to analyse them with Conley index methods. To apply those at
infinity we have to face two main obstacles: the lack of boundedness of
neighbourhoods of infinity and the frequent degenerate behaviour at
infinity. The first obstacle may be overcome by "compactification"
of the phase space while the second forces us to generalise the definition
of the Conley index to a class of degenerate invariant sets at infinity.
We show how this new definition fits into the machinery allowing to detect
heteroclinic orbits.

Jan 27, 2009 
Jens Rademacher (Centrum Wiskunde & Informatica Amsterdam) 
LyapunovSchmidt Reduction for Unfolding Heteroclinic
Networks of Equilibria and Periodic Orbits with Tangencies 
When all nodes in a heteroclinic network are equilibria much is known about the bifurcations.
Recently, heteroclinic networks whose nodes can also be periodic orbits have found increasing attention.
In the present article we consider finite heteroclinic networks in arbitrary phase space dimensions
whose nodes can be an arbitrary mixture of equilibria and periodic orbits.
In addition, we allow for tangencies in the intersection of un/stable manifolds.
The problem we address is to find solutions that are close to the heteroclinic network
for all time, and their parameter values.
The main result is a reduction of this problem to a system of algebraic equations
for the parameters with leading order expansion in terms of certain geometric characteristics.
The only difference for a periodic orbit instead of an equilibrium is
that one of these characteristics becomes discrete.
The essential assumptions are hyperbolicity of the nodes and transversality of parameter variation.

Feb 03, 2009 
SFB 647 
Feb 10, 2009 
A.L. Skubachevskii (Moscow State Aviation Institute) 
Elliptic functional differential equations with degeneration 