Computability with polynomial differential equations

Graça, Daniel; Campagnolo, Manuel; Buescu, Jorge

http://hdl.handle.net/10400.1/1014

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Authors

Graça, Daniel

Campagnolo, Manuel

Buescu, Jorge

Abstract(s)

In this paper, we show that there are Initial Value Problems de ned with polynomial ordinary di erential equations that can simulate univer- sal Turing machines in the presence of bounded noise. The polynomial ODE de ning the IVP is explicitly obtained and the simulation is per- formed in real time.