  In this paper, we provide a natural correspondence of eigenstructures of
Jacobian matrices associated with equilibria for appropriately transformed two
systems describing finite-time blow-ups for ODEs with quasi-homogeneity in an
asymptotic sense. As a corollary, we see that asymptotic expansions of blow-ups
proposed in Part I themselves provide a criterion of the existence of blow-ups
with an intrinsic gap structure of stability information among two systems.
Examples provided in Part I are revisited to show the above correspondence.
