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arXiv · 2010.06210

A note on the Turing universality of homogeneous potential wells and geodesible flows

Khang Manh Huynh
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Abstract

We explore some properties of flows with strongly adapted 1-forms, originally discovered in (Tao 2017), which can be used to embed Turing machines into dynamical systems. In particular, we discuss some relations to geodesible flows, and show that even a slight modification of the dynamical system, such as homogeneity, can lead to an intermediate class of flows between adapted flows and geodesible flows, while still retaining Turing universality.

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Khang Manh Huynh. 2020-10-13. A note on the Turing universality of homogeneous potential wells and geodesible flows. https://arxiv.org/abs/2010.06210

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