2 papers
math.DS2026
Morse Theory and Stability of Periodic Billiard Trajectories
Henry Kavle, Daniel Offin
In a billiard table with boundary, trajectories are critical points of the negative length functional on the space of admissible paths in the billiard table. The goal of this…
math.DS2019
Keplerian orbits through the Conley-Zehnder index
Henry Kavle, Daniel Offin, Alessandro Portaluri
It was discovered by Gordon in 1977 that Keplerian ellipses in the plane are minimizers of the Lagrangian action and spectrally stable as periodic points of the associated Hamilton…