Chaos on the hypercube and other places

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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 languageEnglish
Pages (from-to)1-9
Number of pages9
JournalInternational Journal of Mathematical Education in Science and Technology
Early online date9 Sept 2022
DOIs
Publication statusPublished 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)

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