Apr 21, 2009 
Nicolas
Roy (Humboldt University Berlin) 
A microlocal approach to Ruelle resonances of Anosov diffeomorphisms 
If f is an Anosov diffeomorphism on a compact manifold, the decay of the
dynamical correlation functions is governed by the socalled Ruelle
resonances. It follows from the works of Baladi & al and Liverani & al, that
these resonances can be obtained by a suitable spectral analysis of the
composition operator (or another one related to it) called the "Transfer
operator".
In this talk, we will show how these results can be obtained by a systematic
microlocal analysis, and method coming originaly from Quantum mechanics.
The talk is based on the recent paper:
[Faure, Roy, Sjoestrand] "Semiclassical approach for Anosov diffeomorphisms
and Ruelle resonances". Open Math. Journal (2008), vol. 1, 3581.

Apr 28, 2009 
SFB 647 
May 12, 2009 
SFB 647 
May 19, 2009 
Workshop
on Nonlinear Optics in Guided Geometries (WIAS) 
May 26, 2009 
Leonid Rossovskii (Peoples' Friendship University of Russia) 
Boundaryvalue problems connected with the pantograph equation and their elliptic analogs 
Elliptic functional differential equations with contracted and expanded arguments in the senior terms will be considered.
The equations share some principal features with their prototype, the pantograph equation,
which possesses a large number of applications in applied mathematics and engineering.
Compared to the relatively well studied differentialdifference equations,
these equations represent diverse mathematical structures and pose different mathematical challenges.
We will discuss necessary and sufficient conditions for the Garding inequality,
solvability and regularity of solutions to boundary value problems in Sobolev and weighted spaces.

June 02, 2009 
SFB 647 
June 09, 2009 
Markus
Dahlem (Technical University Berlin) 
Modeling dynamics in large scale neural populations 
June 11, 2009 
EHRENKOLLOQUIUM anlässlich des 70. Geburtstages von Klaus R. Schneider
16:15, BerlinAdlershof, Rudower Chaussee 25 (JohnvonNeumannHaus),
HumboldtKabinett (1. Etage)

Jan Sieber (University of Portsmouth) 
Using feedback control to find unstable phenomena in experiments 
June 16, 2009 
Reiner
Lauterbach (University of Hamburg) 
Bifurcation in Homogeneous Networks: Linear Theory 
In this talk we investigate the tensor product structure of the flow on homogeneous networks.
We show that this structure has strong implications on the notion of genericity in networks
and we find that the dimension of the internal dynamics is crucial for this.
Generically center subspaces are linearly isomorphic to generalized eigenspaces
of the adjacency matrix if this dimension is at least 2.
This relates to genericity results in equivariant bifurcation theory,
where the kernels are generically absolutely irreducible group representations.
In equivariant bifurcation theory fixed point spaces play an important role.
In the case of networks a similar role is played by colorings
of an associated graph and corresponding flow invariant spaces.
Finally we present some bifurcation results which generalize
the Equivariant Branching Lemma to our situation.

June 23, 2009 
SFB 647 
June 30, 2009 
Julia Ehrt (Weierstrass Institute Berlin) 
Cascades of heteroclinics in hyperbolic balance laws 
The talk will focus on the question of global attractors for
viscous balance laws and their hyperbolic limit. I will present a result
concerning uniqueness of heteroclinic connections in the hyperbolic case
and present a corrected result of Fan and Hale's theorem on persistence
of heteroclinic connections for vanishing viscosity. Some consequences
of this will be discussed.

July 07, 2009 
Thomas Lorenz (University of Frankfurt) 
Mutational Analysis  the Cauchy problem in and beyond vector spaces 
Thomas Lorenz: Mutational Analysis, 2009 (Habilitationsschrift)
Thomas Lorenz: Mutational Analysis, 2009 (Presentation, Berlin)

July 14, 2009 
SFB 647 
July 21, 2009 
Weierstraß Institute, EhrhardSchmidHiörsaal, Mohrenstr. 39, 10117 Berlin

Andrey Shilnikov 
Multistability in models of center pattern generators 
We study polyrhythmic dynamics in inhibitoryexcitatory models of
central pattern generators controlling various locomotive behaviors.
We analyze various configurations of CPG motifs and describe the universal
mechanisms for synergetic bursting patterns.
