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arxiv: math/0502262 · v1 · submitted 2005-02-13 · 🧮 math.DS · math.CA

On inverse problem of dynamics

classification 🧮 math.DS math.CA
keywords almostanalyticcompactconfigurationdynamicsenergyenoughhamiltonian
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We study the question 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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