A note on the Turing universality of homogeneous potential wells and geodesible flows
Dynamical Systems
2020-10-14 v1 Analysis of PDEs
Classical Analysis and ODEs
Differential Geometry
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.
Keywords
Cite
@article{arxiv.2010.06210,
title = {A note on the Turing universality of homogeneous potential wells and geodesible flows},
author = {Khang Manh Huynh},
journal= {arXiv preprint arXiv:2010.06210},
year = {2020}
}
Comments
14 pages