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Hamiltonian equations in R-3
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Date
2003-12-01
Author
Ay, Ahmet
GÜRSES, METİN
Zheltukhın, Kostyantyn
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The Hamiltonian formulation of N=3 systems is considered in general. The most general solution of the Jacobi equation in R-3 is proposed. The form of the solution is shown to be valid also in the neighborhood of some irregular points. Compatible Poisson structures and corresponding bi-Hamiltonian systems are also discussed. Hamiltonian structures, the classification of irregular points and the corresponding reduced first order differential equations of several examples are given. (C) 2003 American Institute of Physics.
Subject Keywords
Mathematical Physics
,
Statistical and Nonlinear Physics
URI
https://hdl.handle.net/11511/42000
Journal
JOURNAL OF MATHEMATICAL PHYSICS
DOI
https://doi.org/10.1063/1.1619204
Collections
Department of Mathematics, Article
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A. Ay, M. GÜRSES, and K. Zheltukhın, “Hamiltonian equations in R-3,”
JOURNAL OF MATHEMATICAL PHYSICS
, pp. 5688–5705, 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42000.