  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. Notably, the vector fields with all periodic orbits
robustly hyperbolic (star flows), are hyperbolic in absence of singularities.
Morales, Pacifico and Pujals proposed a partial hyperbolicity called "singular
hyperbolicity" that characterizes an open and dense subset of three dimensional
star flows. In higher dimensions, Bonatti and da Luz characterize an open and
dense set of star vector fields by multi-singular hyperbolicity. In this
article, we prove that a vector field exhibiting all periodic orbits robustly
of the same index is multi-singular hyperbolic, generalizing the previous
results. As a corollary, we obtained that all three-dimensional star flows are
multi-singular hyperbolic. Moreover, if all singularities in the same class
exhibit the same index, the star flow is singular hyperbolic. Additionally,
star flows with robust chain recurrence classes in any dimension are
multisingular hyperbolic.
