COMMUTATIVE FAMILIES OF FUNCTIONS RELATED TO CONSISTENT POISSON BRACKETS

被引：34
作者：
BOLSINOV, AV [1 ]
机构：
[1] MV LOMONOSOV STATE UNIV,MEHMAT,MOSCOW 117234,USSR
来源：
ACTA APPLICANDAE MATHEMATICAE | 1991年 / 24卷 / 03期
关键词：
INTEGRABLE HAMILTONIAN SYSTEM; POISSON BRACKET; COMMUTING 1ST INTEGRALS; ARGUMENT SHIFT METHOD; EULER EQUATIONS; MOMENTUM MAP;
D O I：
10.1007/BF00047046
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A study is made concerning families of consistent Poisson brackets in the setting of completely integrable Hamiltonian systems. A method is presented for verifying completeness of systems of commuting first integrals.
引用
收藏
页码：253 / 274
页数：22
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