SYMMETRIES OF MECHANICAL SYSTEMS WITH NONLINEAR NONHOLONOMIC CONSTRAINTS

• 来源期刊: 中国物理（英文版）
• 学科: 物理学
• 关键词: nonholonomic constraints dynamical symmetries adjoint symmetries Noether symme-tries
• 年，卷（期）: 2001,（3）
• 所属期刊栏目: GENERAL
• 页码范围: 181-185
• 页数: 5页
• 分类号: O4
• 语种: 英文

摘要

The dynamical symmetries and adjoint symmetries of nonlinear nonholonomic constrained mechanical systems are analysed in two kinds of geometrical frameworks whose evolution equations are Routh's equations and generalized Chap-lygin's equations, respectively. The Lagrangian inverse problem and the interrelation between Noether's symmetries and dynamical symmetries are briefly concerned with. Finally an illustrative example is analysed.