A monster map: chaos on a prefractal
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.
Authors
- Mark McCartney (ORCID: https://orcid.org/0000-0001-9304-419X)
Institutions
- University of Ulster (GB)
Publication Details
- Journal
- International Journal of Mathematical Education in Science and Technology
- Published
- 2025-09-25
- DOI
- https://doi.org/10.1080/0020739x.2025.2539713
- Primary Topic
- Chaos-based Image/Signal Encryption
- Type
- article
- Field-Weighted Citation Impact
- 0.00