A simple geometric construction of an ODE with undecidable blow-ups
Dynamical Systems
2024-10-03 v1 Classical Analysis and ODEs
Abstract
We present a simple construction of an ODE on where the vector field is smooth, and finite-time blow-up is equivalent to the halting problem for a universal Turing machine.
Cite
@article{arxiv.2410.01455,
title = {A simple geometric construction of an ODE with undecidable blow-ups},
author = {Manh Khang Huynh},
journal= {arXiv preprint arXiv:2410.01455},
year = {2024}
}
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