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K. Matsue

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Preprint Oct 2026

On Algebraic-Dynamical Correspondence of Oscillatory Blow-Up Solutions for ODEs

We develop an algebraic-dynamical correspondence for type-I oscillatory blow-up solutions of autonomous ODEs with asymptotically quasi-homogeneous vector fields. Periodic solutions of the balance law arising from asymptotic expansions of blow-ups are related to periodic orbits on the horizon for the desingularized vect...

K. Matsue · 0 citations

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