| Sep 28, 2010 |
Dmitry Glazkov
(University of Yaroslavl, Russia) |
Qualitative analysis of one class of optoelectronic systems
with singularly perturbed models |
| 1:00 p.m.,
WIAS, Mohrenstraße 39, 10117 Berlin, Erhard-Schmidt-Hörsaal |
| Oct 05, 2010 |
Dmitry Glazkov
(University of Yaroslavl, Russia) |
Local dynamics of delay differential equations
with long delay feedback |
| Oct 19, 2010 |
First
German-Russian Interdisciplinary Workshop on the Structure and Dynamics of Matter,
BESSY, Albert-Einstein-Straße 15, 12489 Berlin
(Program) |
| Oct 26, 2010 |
SFB 647 |
| Nov 2, 2010 |
Carlos Rocha
(Instituto Superior Tecnico, Lisbon, Portugal) |
Transversality in scalar reaction-diffusion equations on a circle |
|
Stable and unstable manifolds of hyperbolic periodic orbits
for scalar reaction-diffusion equations defined on a circle always
intersect transversally. Moreover, hyperbolic periodic orbits do not
possess homoclinic orbit connections. We review these results that as
main tool use Matano's zero number theory dealing with the Sturm nodal
properties of the solutions.
|
| Nov 9, 2010 |
Flavio Abdenur
(PUC, Rio de Janeiro) |
Geometric mechanisms for robust transitivity |
|
A diffeomorphism is said to be robustly transitive if it
is transitive, and moreover it is, err, robustly so. (Meaning of
course all diffeomorphisms sufficiently close to it are also
transitive.) Robustly transitive (but non-Anosov) systems are in a
sense a model for non-hyperbolic but hyperbolic-like global behavior.
Though many examples have been constructed, and many consequences
deduced, the general mechanism(s) that underlie this phenomenon are
still poorly understood. I will report on some progress - meaning
actual theorems, not just lemmas or tentative ideas - that has been
recently achieved in this direction, in the context of partially
hyperbolic systems. The exciting keywords here are blenders,
minimality of foliations, and the crossing condition.
This is a joint (and ongoing) work with Sylvain Crovisier.
|
Ilya Kashchenko
(University of Yaroslavl, Russia) |
Dynamics properties of second-order equations with large delay |
|
(abstract as PDF document)
|
| Nov 16, 2010 |
SFB 647 |
| Nov 23, 2010 |
Roman Shamin
(Peoples' Friendship University of Russia,
Shirshov Institute of Oceanology) |
Probability of the occurrence of freak waves |
|
Hydrodynamics of ideal heavy liquid with a free surface in
conformal variables is studied. In numeric simulations we show
occurrence of freak waves. The statistics of the occurrence of freak
waves is investigated. The characteristics of freak waves are considered.
|
| Nov 30, 2010 |
SFB 647 |
| Dec 7, 2010 |
Martin Väth
(Free University Berlin) |
Bifurcation for a Reaction-Diffusion System with Obstacles and Pure Neumann Boundary Conditions |
| Start at 4:15 p.m., coffee at 3:45 p.m., usual place, see below. |
|
Consider a reaction-diffusion system which is subject to
Turing's effect of diffusion-driven instability (leading
to patterns). It is known that the presence
of obstacles can lead to bifurcation of stationary solutions
in a parameter domain where the system is stable (thus
amplifying Turing's effect in a sense). However, usually
additional Dirichlet conditions were supposed.
For almost 30 years it has been an open problem whether the
same result holds without Dirichlet conditions.
In the talk the somewhat surprising answer is given, and
the difficulties of the proof are sketched.
|
| Dec 14, 2010 |
SFB 647 |
| Jan 11, 2011 |
SFB 647 |
| Jan 18, 2011 |
Stefan Liebscher
(Free University Berlin) |
Bifurcation without parameters |
| Jan 25, 2011 |
Alexander Skubachevskii
(Peoples' Friendship University of Russia) |
Damping Problem for Control System with Delay and Nonlocal Boundary Value Problems |
|
We consider damping problem for control system with delay. For the first
time this problem was studied by N.N. Krasovskii in 1968 for delay
differential equation. We consider the damping problem in general case,
i.e. for neutral differential difference equation. Such problem can be
formulated as a variational problem for nonlocal functional containing
derivatives and shifts for unknown function. We reduce a variational
problem to a boundary value problem for a second order neutral
differential-difference equation and prove a uniqueness and existence of
generalized solution of this boundary value problem. Using a connection
between boundary value problem for differential-difference equations
and nonlocal boundary value problems we obtain the necessary and
sufficient conditions for smoothness of generalized solutions.
|
| Feb 1, 2011 |
SFB 647 |
Last change: Mar. 29, 2011
