THE HAMILTON-JACOBI EQUATION, INTEGRABILITY, AND NONHOLONOMIC SYSTEMS

被引：7

作者：

Bates, Larry M. ^{[1
]}

Fasso, Francesco ^{[2
]}

Sansonetto, Nicola ^{[2
]}

机构：

[1] Univ Calgary, Dept Math, Calgary, AB T2N 1N4, Canada

[2] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy

来源：

JOURNAL OF GEOMETRIC MECHANICS | 2014年 / 6卷 / 04期

关键词：

Hamilton-Jacobi equation; complete integrability; nonholonomic mechanics;

D O I：

10.3934/jgm.2014.6.441

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By examining the linkage between conservation laws and symmetry, we explain why it appears there should not be an analogue of a complete integral for the Hamilton-Jacobi equation for integrable nonholonomic systems.

引用

页码：441 / 449

页数：9

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