Lie-Mei symmetry and conserved quantities of the Rosenberg problem

• 来源期刊: 中国物理B(英文版)
• 学科: 物理学
• 关键词: Hojman守恒量 Mei对称性 非完整机械系统 谎言 方程
• 年，卷（期）: 2011,（7）
• 页码范围: 070204.1-070204.3
• 页数: 1页
• 分类号: O316
• 语种: 英文
• DOI: 10.1088/1674-1056/20/7/070204

摘要

The Rosenberg problem is a typical but not too complicated problem of nonholonomic mechanical systems.The Lie-Mei symmetry and the conserved quantities of the Rosenberg problem are studied.For the Rosenberg problem,the Lie and the Mei symmetries for the equation are obtained,the conserved quantities are deduced from them and then the definition and the criterion for the Lie-Mei symmetry of the Rosenberg problem are derived.Finally,the Hojman conserved quantity and the Mei conserved quantity are deduced from...