Canonoid transformations from a geometric perspective. (English) Zbl 0656.70018
The concept of canonoid transformation for a locally Hamiltonian vector field is introduced, and its relation with the existence of non-Noether constants of the motion is shown from a geometrical viewpoint. The equations determining generating functions for such canonoid transformations are obtained and applications to some particular problems are given.
MSC:
| 70H15 | Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics |
| 37J99 | Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems |
References:
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