3 papers
math.DS2022
Star vector fields on three-manifolds are multi-singular hyperbolic
Jennyffer Bohorquez, Adriana da Luz, Nelda Jaque
The coexistence of singularities and regular orbits in chain transitive sets has been a major obstacle in understanding the hyperbolic/partial hyperbolic nature of robust dynamics.…
math.DS2018
Singular robustly chain transitive sets are singular volume partial hyperbolic
Adriana da Luz
For diffeomorphisms or for non-singular flows, there are many results relating properties persistent under C1 perturbations and global structures for the dynamics ( such as hyperbo…
math.DS2018
Star flows with singularities of different indices
Adriana da Luz
It is known that a generic star vector field on a or -dimensional manifold is such that its chain recurrence classes are either hyperbolic, or singular hyperbolic ([MPP]…