,PERTURBATION TO THE SYMMETRIES AND ADIABATICrnINVARIANTS OF HOLONOMIC VARIABLE MASS SYSTEMS

• 作 者: CHEN XIANG-WEI MEI FENG-XIANG
• 机 构: Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, ChinarnDepartment
• 出 处: 中国物理(英文版)
• 发表日期: 2000年10期
• 关键词: analytical mechanics variable mass symmetry perturbation adiabatic invariant

The perturbation problem of symmetries for the holonomic variable mass systems under small excitation is discussed. The concept of high-order adiabatic invariant is presented, and the form of adiabatic invariants and the conditions for their existence are given. Then the corresponding inverse problem is studtied. Finally an example is presented to illustrate these results.