A simple geometric construction of an ODE with undecidable blow-ups

Manh Khang Huynh

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arXiv · 2410.01455

A simple geometric construction of an ODE with undecidable blow-ups

Manh Khang Huynh

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Abstract

We present a simple construction of an ODE on $\mathbb{R}^{n}$ where the vector field is smooth, and finite-time blow-up is equivalent to the halting problem for a universal Turing machine.

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Manh Khang Huynh. 2024-10-02. A simple geometric construction of an ODE with undecidable blow-ups. https://arxiv.org/abs/2410.01455

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