Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar Differentialgeometrie


Dr. Irene De Blasi
University of Turin

spricht am
Montag, 10. Juli 2023
16 Uhr s.t.
2004/L1 und Zoom (hybride Veranstaltung)
über das Thema:

»Chaotic dynamics in Galactic Refraction Billiards«

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:


Hierzu ergeht herzliche Einladung.
Dr. Airi Takeuchi

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).

[Impressum]      [Datenschutz],     Mo 19-Jun-2023 10:09:30 MESZ