Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Professor Antonio Urena
Universität Granada

 
spricht am
 
Montag, 10. Januar 2022
 
um
 
16:15 Uhr
 
im
 
1009/L und Zoom (hybride Veranstaltung)
 
über das Thema:
 

»Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces«

Abstract:
We consider autonomous Newtonian systems with Coriolis forces in two and three dimensions and study the existence of branches of periodic orbits emanating from equilibria. While Lyapunov’s center theorem applies locally in the nondegenerate, nonresonant context, equivariant degree theory provides a global answer which is significant also in some degenerate cases. We apply our abstract results to a problem from Celestial Mechanics. More precisely, in the three-dimensional version of the Restricted Triangular Four-Body Problem with possibly different primaries our results show the existence of at least seven branches of periodic orbits emanating from the stationary points.

This is a joint work with Anna Golebiewska, Ernesto Perez-Chavela and Slawomir Rybicki

If you want to take part via Zoom please ask Prof. Urs Frauenfelder for­ login details.


 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Urs Frauenfelder, PD Dr. Lei Zhao
 

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



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