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Universität Augsburg
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Universität Augsburg
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Dr. Irene De Blasi
University of Turin
spricht am
Montag, 10. Juli 2023
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16 Uhr s.t.
im
2004/L1 und Zoom (hybride Veranstaltung)
über das Thema:
| Abstract: |
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A new type of dynamical model, describing the motion of a point-mass particle
in an elliptic galaxy with a massive central core (such as, for example, a Black
Hole), is studied.
This kind of model belongs to the more general class of the refraction billiards,
which are particularly useful as a way to describe the dynamics of particles under
the action of discontinuous potentials. In our case, a refraction interface (a
regular closed curve) separates a Keplerian potential with positive energy from
a two-dimensional homogeneous harmonic potential.
The dynamical properties of the system (integrability, presence and stability of
fixed points, rotation number of the trajectories) depend crucially on the geometric
features of the interface. In particular, this talk focuses on proving that,
under quite generic conditions on the billiard’s shape, the refractive dynamics
is topologically chaotic.
Work in collaboration with V. Barutello and S. Terracini. References: Barutello V.L., De Blasi I., Terracini, S. Chaotic dynamics in refraction galactic billiards. To appear in Nonlinearity, 218 (2023). If you want to take part via Zoom please ask Dr. Airi Takeuchi for login details: airi1.takeuchi@uni-a.de |
| Hierzu ergeht herzliche Einladung. |
| Dr. Airi Takeuchi |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).