Notes on a study of vector Bundle Dynamical systems(Ⅱ)──Part 2

In the part 2,theorem 3.1 stut ed in part 1^[15] is proved first.The proof is obtained via a way of changing variables to reduce the original system of differentialequations to a form concerning Standard systems of equations in the theory ofdifferentiable dynamical systems.Then by using theorem 3.1 together with thepreliminary theorem 2.l,foe main theorem of this paper announced in part 1 is proved.The definition of admissible perturbation is contained in the appendix of part 2.Themeanings of the main theorem is described in the introduction of part 1.