| 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 so-called 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] "Semi-classical approach for Anosov diffeomorphisms
and Ruelle resonances". Open Math. Journal (2008), vol. 1, 35--81.
|
| 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) |
Boundary-value 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 differential-difference 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, Berlin-Adlershof, Rudower Chaussee 25 (John-von-Neumann-Haus),
Humboldt-Kabinett (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, Ehrhard-Schmid-Hiörsaal, Mohrenstr. 39, 10117 Berlin
|
| Andrey Shilnikov |
Multistability in models of center pattern generators |
|
We study polyrhythmic dynamics in inhibitory-excitatory 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.
|
Last change: Jan. 25, 2010
