Mind Science


Nervous Oscillations on a Twisted Cylinder

Authors: Arturo Tozzi

The Borsuk-Ulam theorem is a general principle able to describe a large amount of brain functions. However, when assessing the neurodata extracted from EEG and fMRI, the BUT-related methods, based on projections and mappings among different functional brain dimensions, are impractical and computationally expensive. Here we show how the BUT’s antipodal features with matching description (say, two far apart brain areas that are activated simultaneously and display the same value of entropy) can be described in terms of closed paths on a Möbius strip. This allows to evaluate the nervous system’s dynamics in terms of trajectories taking place onto the well-established, easily manageable phase space of a twisted cylinder.

Comments: 5 Pages.

Download: PDF

Submission history

[v1] 2018-03-19 07:56:15

Unique-IP document downloads: 82 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus