An inverse problem of Hamiltonian dynamics

M Rudnev; VV Ten

An inverse problem of Hamiltonian dynamics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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
Original language	English
Pages (from-to)	3295 - 3299
Journal	Proceedings of the American Mathematical Society
Volume	134 (11)
Publication status	Published - 2006

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Publisher: Amer Mathematical Soc
Other identifier: IDS number 097GF

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title = "An inverse problem of Hamiltonian dynamics",

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.",

author = "M Rudnev and VV Ten",

note = "Publisher: Amer Mathematical Soc Other identifier: IDS number 097GF",

year = "2006",

language = "English",

volume = "134 (11)",

pages = "3295 -- 3299",

journal = "Proceedings of the American Mathematical Society",

issn = "1088-6826",

publisher = "American Mathematical Society",

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T1 - An inverse problem of Hamiltonian dynamics

AU - Rudnev, M

AU - Ten, VV

N1 - Publisher: Amer Mathematical Soc Other identifier: IDS number 097GF

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

M3 - Article (Academic Journal)

SN - 1088-6826

VL - 134 (11)

SP - 3295

EP - 3299

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

ER -

An inverse problem of Hamiltonian dynamics

Abstract

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