An inverse problem of Hamiltonian dynamics

Rudnev, M.; Ten, V.

doi:10.1090/S0002-9939-06-08351-1

An inverse problem of Hamiltonian dynamics
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by M. Rudnev and V. Ten PDF

Proc. Amer. Math. Soc. 134 (2006), 3295-3299 Request permission

Abstract:

We study the question of whether for a natural Hamiltonian system on a two-dimensional compact configuration manifold, a single trajectory of sufficiently high energy is almost surely enough to reconstruct a real analytic potential.

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