ABOUT THE EXISTENCE OF RECURSION OPERATORS FOR COMPLETELY INTEGRABLE HAMILTONIAN-SYSTEMS NEAR A LIOUVILLE TORUS

被引：19

作者：

BROUZET, R

机构：

[1] Institut de Mathématiques, Getodim UA 1407, USTL, 34095 Montpellier Cedex 5, Place E. Bataillon

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1993年 / 34卷 / 04期

关键词：

D O I：

10.1063/1.530212

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that the existence of a recursion operator near a Liouville torus of a completely integrable Hamiltonian system is not always satisfied and that such an existence implies very strong conditions on the Hamiltonian and on the actions.

引用

页码：1309 / 1313

页数：5