Perturbation to symmetries and adiabatic invariants of a type of nonholonomic singular system

• 来源期刊: 中国物理（英文版）
• 关键词: nonholonomic singular system perturbation to symmetry exact invariant adiabatic invariant
• 年，卷（期）: 2003,（12）
• 页码范围: 1349-1353
• 页数: 5页
• 语种: 英文

摘要

Based on the theory of symmetries and conserved quantities, the perturbation to the symmetries and adiabatic invariants of a type of nonholonomic singular system are discussed. Firstly, the concept of higher order adiabatic invariants of the system is proposed. Secondly, the conditions for existence of the exact invariants and adiabatic invariants are proved, and their forms are given. Thirdly, we study the inverse problems of the perturbation to symmetries of the system. An example is presented to illustrate these results.