Towards a classification of natural integrable systems

被引：5

作者：

Tsiganov, A. V. ^{[1
]}

机构：

[1] St Petersburg State Univ, VA Fock Inst Phys, St Petersburg 198504, Russia

来源：

REGULAR & CHAOTIC DYNAMICS | 2006年 / 11卷 / 03期

关键词：

integrable systems; bi-Hamiltonian geometry; separation of variables;

D O I：

10.1070/RD2006v011n03ABEH000358

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For construction and classification of the natural integrable systems we propose to use a criterion of separability in Darboux-Nijenhuis coordinates, which can be tested without an a priori explicit knowledge of these coordinates. As an example we apply this method for the search of integrable systems on the plane.

引用

页码：343 / 362

页数：20

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