• DOI:10.1016/J.AAM.2007.02.003
Corpus ID: 116594

Computability with polynomial differential equations

@article{Graa2008ComputabilityWP,
  title={Computability with polynomial differential equations},
  author={D. Graça and M. L. Campagnolo and J. Buescu},
  journal={Adv. Appl. Math.},
  year={2008},
  volume={40},
  pages={330-349}
}

D. Graça, M. L. Campagnolo, J. Buescu

Published 2008

Mathematics, Computer Science

Adv. Appl. Math.

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In this paper, we show that there are initial value problems defined with polynomial ordinary differential equations that can simulate universal Turing machines in the presence of bounded noise. The polynomial ODE defining the IVP is explicitly obtained and the simulation is performed in real time.