Synchrony in coupled systems: a connection between graphs and singularities
The Hamiltonian structure of normal forms for elliptic equilibria of reversible ve...
Symmetries of functions on networks and of mappings on Minkowski spaces
| Full text | |
| Author(s): |
Baptistelli, Patricia H.
;
Hernandes, Maria Elenice R.
;
Terezio, Eralcilene Moreira
Total Authors: 3
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 54, n. 3, p. 32-pg., 2023-09-01. |
| Abstract | |
In this paper, we present algebraic tools to obtain normal forms of ?-Hamiltonian vector fields under a semisymplectic action of a Lie group, by taking into account the symmetries and reversing symmetries of the vector field. The normal forms resulting from the process preserve the Hamiltonian condition and the types of symmetries of the original vector field. Our techniques combine the classical method of normal forms of Hamiltonian vector fields with the invariant theory of groups. (AU) | |
| FAPESP's process: | 19/21181-0 - New frontiers in Singularity Theory |
| Grantee: | Regilene Delazari dos Santos Oliveira |
| Support Opportunities: | Research Projects - Thematic Grants |