Open AccessA new type of adiabatic invariants for Birkhoffian system
Author(s) -
Yi Zhang
Publication year - 2006
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.55.3833
Subject(s) - homogeneous space , adiabatic process , adiabatic invariant , perturbation (astronomy) , conserved quantity , physics , classical mechanics , type (biology) , mathematical physics , mathematics , quantum mechanics , geometry , biology , ecology
The perturbation of symmetries and adiabatic invariants for Birkhoffian system are studied. The exact invariants in the form of Hojman conserved quantities introduced by the Lie symmetries of Birkhoffian system without perturbations are given. Based on the definition of high-order adiabatic invariants of a mechanical system, the perturbation of Lie symmetries for Birkhoffian system under the action of small disturbance is investigated, and a new type of adiabatic invariants of the system are obtained. An example is given to illustrate the application of the results.