C1-stably expansive flows

In this paper, the C1 interior of the set of vector fields whose integrated flows are expansive is characterized as the set of vector fields without singularities satisfying both Axiom A and the quasi-transversality condition, and it is proved that the above vector fields possessing the shadowing property must be structurally stable. As a corollary, there exists a non-empty C1 open set of vector fields whose integrated flows do not have the shadowing property.