Orbital shadowing for 3-flows

We call that a flow has the orbital shadowing property if for any ε>0 there is d>0 such that, for any d-pseudo orbit g(t) there exists an orbit Orb(x) satisfying distH(g(t)‾,Orb(x)‾)<ε. In this paper, we show that the C1-interior of the set of 3-dimensional flows having the orbital shadowing property is contained in the set of Ω-stable 3-flows.