一种构造可积Hamilton系统的新方法

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A New Method for the Construction of Integrable Hamiltonian Systems

摘要: 建议了一种新的构造可积Hamilton系统的方法。对于给定的Poisson流形,本文利用Dirac-Poisson结构构造其上的新Poisson括号^[1],进而获得了新的可积Hamilton系统。构造的Poisson括号一般是非线的,并且这种方法也不同于通常的方法^[2～4]。本文还给出了两个实例。
- Dirac－Poisson括号 /
- 可积性 /
- Hamilton系统
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.
- Dirac-Poisson bracket /
- integrability /
- Hamiltonian systems

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