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