Commutative partially integrable systems on Poisson manifolds

被引：0

作者：

A. V. Kurov

机构：

[1] Moscow State University,Department of Physics

来源：

Moscow University Physics Bulletin | 2016年 / 71卷

关键词：

action–angle coordinates; Poisson manifold; integrable system;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that, as distinct from completely integrable Hamiltonian systems, a commutative partially integrable system admits different compatible Poisson structures on a phase manifold that are related by a recursion operator. The existence of action–angle coordinates around an invariant submanifold of such a partially integrable system is proved.

引用

页码：375 / 380

页数：5

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