PERTURBATION TO THE SYMMETRIES AND ADIABATIC INVARIANTS OF HOLONOMIC VARIABLE MASS SYSTEMS
Chen Xiang-wei (梅凤翔)ab, Mei Feng-xiang (陈向炜)a
a Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China; b Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China
Abstract 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 studied. Finally an example is presented to illustrate these results.
Received: 20 March 2000
Revised: 07 June 2000
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 19972010), and by the Doctoral Program Foundation of Institution of Higher Education of China and by the Natural Science Foundation of Henan Province, China.
Cite this article:
Mei Feng-xiang (陈向炜), Chen Xiang-wei (梅凤翔) PERTURBATION TO THE SYMMETRIES AND ADIABATIC INVARIANTS OF HOLONOMIC VARIABLE MASS SYSTEMS 2000 Chinese Physics 9 721
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