Hamiltonian equations in R-3


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Ay A., GÜRSES M., ZHELTUKHIN K.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.44, ss.5688-5705, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 44 Konu: 12
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1063/1.1619204
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
  • Sayfa Sayıları: ss.5688-5705

Özet

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.