### Abstract

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

Translated title of the contribution | An inverse problem of Hamiltonian dynamics |
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Original language | English |

Pages (from-to) | 3295 - 3299 |

Journal | Proceedings of the American Mathematical Society |

Volume | 134 (11) |

Publication status | Published - 2006 |

### Bibliographical note

Publisher: Amer Mathematical SocOther identifier: IDS number 097GF

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## Cite this

Rudnev, M., & Ten, VV. (2006). An inverse problem of Hamiltonian dynamics.

*Proceedings of the American Mathematical Society*,*134 (11)*, 3295 - 3299.