Hamiltonian equations in R-3

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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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Citation Formats

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.