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PERTURBATION TO THE SYMMETRIES AND ADIABATIC INVARIANTS OF HOLONOMIC VARIABLE MASS SYSTEMS
Authors:Chen Xiang-wei and Mei Feng-xiang
Affiliation:Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China; 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.
Keywords:analytical mechanics   variable mass   symmetry   perturbation   adiabatic invariant
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