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.
|Number of pages||9|
|Journal||International Journal of Mathematical Education in Science and Technology|
|Early online date||9 Sept 2022|
|Publication status||Published online - 9 Sept 2022|
Bibliographical notePublisher Copyright:
© 2022 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.
- Coupled map lattice
- Lyapunov exponents
- discrete chaos
- Applied Mathematics
- Mathematics (miscellaneous)