Open AccessSymmetries of Lagrange system subjected to gyroscopic forces
Author(s) -
Wu Hui-Bin,
Mei Feng-Xiang
Publication year - 2005
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.54.2474
Subject(s) - noether's theorem , symmetry (geometry) , conserved quantity , gyroscope , homogeneous space , classical mechanics , physics , conservation law , mathematical physics , mechanical system , lagrangian , mathematics , computer science , quantum mechanics , geometry , artificial intelligence
The Noether symmetry and Lie symmetry of the Lagrange system subjected to gyroscopic forces are studied. The condition that the system, under gyroscopic forces , can keep its Noether symmetry and Noether conserved quantity is given. And the condition that the system subjected to gyroscopic forces can keep its Lie symme try and Hojman conserved quantity is also given. Finally, two examples are given to illustrate the application of the results.