PERSISTENCE AND TRANSVERSALITY OF THE DEGENERATE HETEROCLINIC ORBITS ACCOMPANIED BY EQUILIBRIUM BIFURCATIONS
伴随奇点分支的退化异宿轨道的保存和横截性

Using exponential trichotomy and the local geometrical expressions of invariant manifolds, the conditions are given for the persistence and transversality of orbits situated in a heteroclinic manifold with equilibria undergoing transcritical bifurcations.