Grindrod, Peter and Yim, Ka Man  ORCID: https://orcid.org/0000-0003-4736-3151
2025.
Dynamical systems on generalised Klein bottles.
Entropy
27
(2)
, 119.
10.3390/e27020119
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License URL: https://creativecommons.org/licenses/by/4.0/
License Start date: 24 January 2025
Official URL: https://doi.org/10.3390/e27020119
Abstract
We propose a high-dimensional generalisation of the standard Klein bottle extending beyond those considered previously. We address the problem of generating continuous scalar fields (distributions) and dynamical systems (flows) on such state spaces, which can provide a rich source of examples for future investigations. We consider a class of high-dimensional dynamical systems that model distributed information processing within the human cortex, which may be capable of exhibiting some Klein bottle symmetries. We deploy topological data analytic methods in order to analyse their resulting dynamical behaviour and suggesting future challenges.
| Item Type: | Article |
|---|---|
| Date Type: | Published Online |
| Status: | Published |
| Schools: | Schools > Mathematics |
| Additional Information: | License information from Publisher: LICENSE 1: URL: https://creativecommons.org/licenses/by/4.0/, Start Date: 2025-01-24 |
| Publisher: | MDPI |
| Date of First Compliant Deposit: | 4 February 2025 |
| Date of Acceptance: | 29 December 2024 |
| Last Modified: | 04 Feb 2025 11:30 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/175901 |
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