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Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (10): 993-998.

• 论文 • 上一篇    下一篇

A NEW METHOD FOR THE CONSTRUCTION OF INTEGRABLE HAMILTONIAN SYSTEMS

高普云   

  1. Department of Mathematics, Nanjing University, Nanijing 210093, P. R. China
  • 收稿日期:1996-02-13 出版日期:1996-10-18 发布日期:1996-10-18

A NEW METHOD FOR THE CONSTRUCTION OF INTEGRABLE HAMILTONIAN SYSTEMS

Gao Puyun   

  1. Department of Mathematics, Nanjing University, Nanijing 210093, P. R. China
  • Received:1996-02-13 Online:1996-10-18 Published:1996-10-18

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摘要： A new method.for the construction of integrable Hamiltonian system is proposed.For a given Poisson manifold the present paper constructs new Poisson brackets on it by making use of the Dirac-Poisson structure[1],and obtains .further new integrable Hamiltonian systems The constructed Poisson bracket is usual non-linear, and this new method is also different from usual ones[2-4].Two examples are given.

Abstract: A new method.for the construction of integrable Hamiltonian system is proposed.For a given Poisson manifold the present paper constructs new Poisson brackets on it by making use of the Dirac-Poisson structure[1],and obtains .further new integrable Hamiltonian systems The constructed Poisson bracket is usual non-linear, and this new method is also different from usual ones[2-4].Two examples are given.

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