English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

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

Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. II -- Dynamical Correspondence