Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms. (English) Zbl 1355.70023
Summary: Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms are studied. Under the infinitesimal transformations of group, the conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms are studied. A necessary and sufficient condition of which the conformal invariance for the system is also Mei symmetry is present. Then the expression of Mei conserved quantity for the system is given. Finally, an example is given to illustrate the application of the result.
MSC:
| 70H33 | Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics |
| 37J15 | Symmetries, invariants, invariant manifolds, momentum maps, reduction (MSC2010) |
Keywords:
additional terms; generalized Hamilton system; conformal invariance; Mei conserved quantityReferences:
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