Chaos on the hypercube and other places

M McCartney

doi:10.1080/0020739x.2022.2113466

Chaos on the hypercube and other places

M McCartney

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

61 Downloads (Pure)

Abstract

Using the sawtooth map as the basis of a coupled map lattice enables simple analytic results to be obtained for the global Lyapunov spectra of a number of standard lattice networks. The results presented can be used to enrich a course on chaos or dynamical systems by providing tractable examples of higher dimensional maps and links to a number of standard results in matrices. A number of suggestions for classroom use are given.

Original language	English
Pages (from-to)	1-9
Number of pages	9
Journal	International Journal of Mathematical Education in Science and Technology
Early online date	9 Sept 2022
DOIs	https://doi.org/10.1080/0020739x.2022.2113466
Publication status	Published online - 9 Sept 2022

Bibliographical note

Publisher Copyright:
© 2022 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.

Keywords

Coupled map lattice
Lyapunov exponents
discrete chaos
hypercube
Applied Mathematics
Education
Mathematics (miscellaneous)

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1080/0020739x.2022.2113466

0020739X.2022Final published version, 1.29 MBLicence: CC BY-NC-ND

Cite this

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KW - Applied Mathematics

KW - Education

KW - Mathematics (miscellaneous)

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Chaos on the hypercube and other places

Abstract

Bibliographical note

Keywords

UN SDGs

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