Periodic Bounce Orbits of Prescribed Energy

GEOMETRY/DYNAMICAL SYSTEMS
Topic:Periodic Bounce Orbits of Prescribed Energy
Speaker:Peter Albers
Affiliation:Purdue University
Date:Wednesday, January 26
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/gds/albers

Periodic bounce orbits are generalizations of billiard trajectories in the presence of a potential. Using an approximation technique by Benci-Giannoni we prove existence of periodic bounce orbits of prescribed energy. At the end of the talk I will sketch very recent work in which we allow much more general Lagrangian systems including magnetic and Finsler billiards. This is joint work with Marco Mazzucchelli.