Apr 24, 2014 |
Sebastian Eydam (FU Berlin) |
Chaos is cosmological models with scalar fields
(introduction to my thesis) |
I will give an introduction to the models we are working on,
providing a description of the dynamics that will lead to a
discrete map. This map is the main focus in my thesis, so I will
present some early results of our investigation of it.
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Apr 24, 2014 |
Isabelle Schneider (FU Berlin) |
Equivariant Pyragas control |
The general theory of a selective noninvasive feedback control of
Pyragas type in the equivariant ODE setting will be discussed.
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May 8, 2014 |
Anna Karnauhova (FU Berlin) |
Construstion of an Anosov diffeomorphism on an infra-nilmanifold |
Infra-nilmanifolds are obtained from the group action of an
almost-Bieberbach group on a connected simply-connected nilpotent
Lie group. After a brief introduction, a tiny mistake in M.Shub's
example will be indicated and corrected. Next, the generalization
to higher dimensions of the example inspired by M. Shub follows
and the talk will be finished by an outlook.
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May 15, 2014 |
Sergey Tikhomirov (Max Planck Institute for Mathematics in the Science, Leipzig) |
Rattling in reaction-diffusion systems with hysteresis |
Rehearsal of the SFB talk.
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May 15, 2014 |
Eyal Ron (FU Berlin) |
Controlling the controller: hysteresis-delay differential equations |
Rehearsal of the SFB talk.
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May 22, 2014 |
Bernhard Brehm (FU Berlin) |
Oriented Shadowing in Bianchi Class A Cosmologies ("Moscow Rehearsal") |
Bianchi Class A cosmological models have been studied extensively
as a model for chaotic (oscillatory) curvature blow-up in
solutions to the Einstein field equations. This chaos is due to
the presence of the so called Mixmaster attractor in the
corresponding ODE system. This attractor consists only of
heteroclinic trajectories, and exhibits non-uniformly hyperbolic
dynamics. Physical heuristics suggest that the behaviour of the
system close to the attractor is determined by the behaviour on
the attractor (BKL Conjecture). However, rigorous results in this
direction are rather sparse.
In this talk, we will present a new result in this context, namely
that trajectories converging to the attractor are approximated by
heteroclinic chains. This theorem and its proof are related to the
geometric notion of oriented shadowing.
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Jun 5, 2014 |
Marcone Correa Pereira (Universidade de Sao Paulo, Sao Paulo,
Brazil) |
The Neumann problem in oscillating thin domains |
In this talk we discuss some recent results about the asymptotic
behavior of the solutions of a parabolic problem with homogeneous
Neumann boundary conditions posed on thin domains with locally
periodic structure on the boundary. We discuss the limit problem
dependence with respect to the geometry of the thin domain also
studying the convergence of the global attractors.
Research partially supported by CNPq 302847/2011-1 and
471210/2013-7, CAPES DGU 267/2008, FAPESP 2008/53094-4 and
2013/22275-1.
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Jun 12, 2014 |
Hannes Stuke (FU Berlin) |
Beyond the blow-up |
In this seminar talk I attempt to prove a global continuation
result for the nonlinear heat equation in the complex time
direction in a special case. This allows to draw some conclusions
on the behaviour of the solution near blow-up for example on the
blow-up rate and the local profile around the blow up point of the
continued solution. If there is still some time left, I will also
discuss possible further research directions.
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Jun 19, 2014 |
Bernold Fiedler, Pavel Gurevich, and their groups (FU Berlin) |
Poster rehearsal |
We will rehearse our poster presentations for the
"SFB-Begutachtung".
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Jun 26, 2014 |
Bernold Fiedler, Pavel Gurevich, and their groups (FU Berlin) |
Poster rehearsal II |
We will rehearse our poster presentations for the
"SFB-Begutachtung".
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Jul 10, 2014 |
Lmokhtar Ikharrazne (University Mohammed Premier, National School
of Applied Sciences, Al Hoceima, Morocco) |
Mathematical and physical aspects of some nonlinear
evolution equations |
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Jul 17, 2014 |
Students (FU Berlin) |
Overview of students' results |
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