Completely Integrable Hamiltonian Systems Generated by Poisson
LEI De-Chao, ZHANG Xiang
Department of Mathematics, Shanghai Jiaotong University,Shanghai 200240
Completely Integrable Hamiltonian Systems Generated by Poisson
LEI De-Chao;ZHANG Xiang
Department of Mathematics, Shanghai Jiaotong University,Shanghai 200240
关键词 ：
02.30.Hg ,
02.30.Ik ,
05.45.-a ,
03.65.Db
Abstract ： The completely integrable Hamiltonian systems have been applied to physics and mechanics intensively. We generate a family of completely integrable Hamiltonian systems from some kinds of exact Poisson structures in R3 by the realization of the Poisson algebra. Moreover, we prove that there is a Poisson algebra which cannot be realized by an exact Poisson structure.
Key words ：
02.30.Hg
02.30.Ik
05.45.-a
03.65.Db
出版日期: 2005-11-01
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2005, Vol. 22 
