Abstract
By using the symmetry and the quasi-symmetry of the infinitesimal transformation of the transformation group Gr and by imposing restrictions of constraints on the transformation, the Noether's theory of constrained Birkhoffian system has been established. The theory includes the generalized Noether's theorem which can obtain the first integrals from the known symmetry and quasi-symmetry, and its inverse which can obtain the corresponding symmetry and quasi-symmetry from the known first integrals for the system.
| Original language | English |
|---|---|
| Pages (from-to) | 221-228 |
| Number of pages | 8 |
| Journal | Journal of Beijing Institute of Technology (English Edition) |
| Volume | 6 |
| Issue number | 3 |
| Publication status | Published - 1997 |