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An inverse problem of Hamiltonian dynamics
Author(s):
M.
Rudnev;
V.
Ten
Journal:
Proc. Amer. Math. Soc.
134
(2006),
3295-3299.
MSC (2000):
Primary 37J05, 70H12
Posted:
May 8, 2006
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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
DOI:
10.1090/S0002-9939-06-08351-1
PII:
S 0002-9939(06)08351-1
Received by editor(s):
February 14, 2005
Received by editor(s) in revised form:
May 26, 2005
Posted:
May 8, 2006
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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