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

1 Citation (Scopus)

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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)

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10.1080/0020739x.2022.2113466

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

Cite this

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Chaos on the hypercube and other places

Abstract

Bibliographical note

Keywords

UN SDGs

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