A monster map: chaos on a prefractal

M McCartney

doi:10.1080/0020739X.2025.2539713

A monster map: chaos on a prefractal

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

Abstract

Two truncated versions of the Weierstrass function are implemented as one-dimensional maps. It is shown that, despite the complexity of the maps, their global Lyapunov exponents can, under certain conditions, be accurately approximated analytically. A number of classroom exercises are included to enable students to investigate the maps further.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	International Journal of Mathematical Education in Science and Technology
Early online date	25 Sept 2025
DOIs	https://doi.org/10.1080/0020739X.2025.2539713
Publication status	Published online - 25 Sept 2025

Bibliographical note

Publisher Copyright:
© 2025 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.

Data Access Statement

The DOI is not currently live - but it is the link given by the publisher. The paper will be published open access.

Keywords

Lyapunov exponents
discrete chaos
Weierstrass function
one-dimensional map
Discrete chaos

Access to Document

10.1080/0020739X.2025.2539713

A monster map chaos on a prefractal.cleanedFinal published version, 2.52 MBLicence: CC BY-NC-ND

Cite this

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title = "A monster map: chaos on a prefractal",

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A monster map: chaos on a prefractal

Abstract

Bibliographical note

Data Access Statement

Keywords

Access to Document

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Cite this