Open AccessPerturbation of Lie symmetries and a type of generalized Hojman adiabatic invariants for variable mass systems with unilateral holonomic constraints
Author(s) -
Jing Hong-Xing,
Li Yuan-Cheng,
Lili Xia
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.3043
Subject(s) - holonomic , adiabatic process , homogeneous space , infinitesimal , perturbation (astronomy) , holonomic constraints , mathematical physics , classical mechanics , physics , conserved quantity , adiabatic invariant , mechanical system , type (biology) , mathematics , mathematical analysis , computer science , quantum mechanics , geometry , ecology , biology , artificial intelligence
In this paper, the perturbation problem of Lie symmetries and adiabatic invariants for variable mass systems with unilateral holonomic constraints are studied. Firstly, a type of generalized Hojman conserved quantity under general infinitesimal transformation is obtained. Then, based on the definition of high-order adiabatic invariants of a mechanical system, the perburbation of Lie symmetries for variable mass systems with unilateral holonomic constraints under small disturbance is discussed and a type of generalized Hojman adiabatic invariants are given. At last, an example to illustrate the application of the results is given.