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computational algebra 1finite-time blow-up 1parameter landscapes 1phase space compactification 1polynomial ODEs 1

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math.DS2026

Blow-up Parameter Landscapes for Polynomial Dynamical Systems

Emil Graf, Ioannis G. Kevrekidis, Alex Townsend

The paper presents a numerical method that automatically identifies regions in parameter space where polynomial ordinary differential equations exhibit finite-time blow‑up, using p…