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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
References
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Additional Information
  • M. Rudnev
  • Affiliation: Department of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom
  • Email: m.rudnev@bris.ac.uk
  • V. Ten
  • Affiliation: Department of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom
  • Email: v.ten@bris.ac.uk
  • Received by editor(s): February 14, 2005
  • Received by editor(s) in revised form: May 26, 2005
  • Published electronically: May 8, 2006
  • Communicated by: Carmen C. Chicone
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 3295-3299
  • MSC (2000): Primary 37J05, 70H12
  • DOI: https://doi.org/10.1090/S0002-9939-06-08351-1
  • MathSciNet review: 2231914