An inverse problem of Hamiltonian dynamics
Authors:
M. Rudnev and V. Ten
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
Published electronically:
May 8, 2006
MathSciNet review:
2231914
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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.
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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:
https://doi.org/10.1090/S0002-9939-06-08351-1
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
Article copyright:
© Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.