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math.CA2022
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. II -- Dynamical Correspondence
Hisatoshi Kodani, Kaname Matsue, Hiroyuki Ochiai +1
In this paper, we provide a natural correspondence of eigenstructures of Jacobian matrices associated with equilibria for appropriately transformed two systems describing finite-ti…
math.CA2022
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. I -- Method and Justification
Taisei Asai, Hisatoshi Kodani, Kaname Matsue +2
In this paper, we provide a systematic methodology for calculating multi-order asymptotic expansion of blow-up solutions near blow-up for autonomous ordinary differential equations…