Gao Puyun. A New Method for the Construction of Integrable Hamiltonian Systems[J]. Applied Mathematics and Mechanics, 1996, 17(10): 933-938.
Citation: Gao Puyun. A New Method for the Construction of Integrable Hamiltonian Systems[J]. Applied Mathematics and Mechanics, 1996, 17(10): 933-938.

A New Method for the Construction of Integrable Hamiltonian Systems

  • Received Date: 1996-02-13
  • Publish Date: 1996-10-15
  • 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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