2 citations · 2 across the 4 of their papers we have counts for
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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…
Minimization and Hyperbolicity
Gonzalo Contreras, Daniel Offin
In this paper we study the relationship between the strict locally minimizing orbits for time dependent lagrangian systems and hyperbolicity properties of the corresponding lagrang…
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…
Stability of Periodic Orbits by Conley-Zehnder index theory
Yanxia Deng, Daniel Offin
We give a necessary and sufficient condition for strong stability of low dimensional Hamiltonian systems, in terms of the iterates of a closed orbit and the Conley-Zehnder index. A…