| Full text | |
| Author(s): |
Baptistelli, P. H.
;
Hernandes, M. E. R.
;
Terezio, E. M.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | LINEAR & MULTILINEAR ALGEBRA; v. N/A, p. 14-pg., 2024-02-10. |
| Abstract | |
In this work, we present algebraic results for Hamiltonian and symmetric vector fields on 2n-dimensional symplectic vector spaces. Our main results are in the linear context. In the case n = 1, we have that a linear vector field is Hamiltonian if and only if it is reversible by an involution. For n>1 and under certain conditions, we obtain a similar correspondence in which the symmetry group is generated by the symplectic form and the reversing symmetries are not necessarily involutions. In the non-linear context, we exhibit families of vector fields that are Hamiltonian with symmetry group Z(4). (AU) | |
| FAPESP's process: | 19/21181-0 - New frontiers in Singularity Theory |
| Grantee: | Regilene Delazari dos Santos Oliveira |
| Support Opportunities: | Research Projects - Thematic Grants |