4 papers
Normal forms of -Hamiltonian vector fields with symmetries
Patrícia Hernandes Baptistelli, Maria Elenice Rodrigues Hernandes, Eralcilene Moreira Terezio
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 symmetrie…
Recognition of symmetries in reversible maps
Patrícia H. Baptistelli, Isabel S. Labouriau, Miriam Manoel
We deal with germs of diffeomorphisms that are reversible under an involution. We establish that this condition implies that, in general, both the family of reversing symmetries an…
Normal forms of bireversible vector fields
P. H. Baptistelli, M. Manoel, I. O. Zeli
In this paper we adapt the method of [P. H. Baptistelli, M. Manoel and I. O. Zeli. Normal form theory for reversible equivariant vector fields. Bull. Braz. Math. Soc., New Series 4…
Invariants and relative invariants under compact Lie groups
Patricia H. Baptistelli, Miriam Manoel
This paper presents algebraic methods for the study of polynomial relative invariants, when the group G formed by the symmetries and relative symmetries is a compact Lie group. We…