Three one-dimensional maps are presented. The maps are analysed with a combination of Feigenbaum diagrams, the calculation of global Lyapunov exponents, and the evaluation of fixed points. It is shown… Click to show full abstract
Three one-dimensional maps are presented. The maps are analysed with a combination of Feigenbaum diagrams, the calculation of global Lyapunov exponents, and the evaluation of fixed points. It is shown that in certain cases period two orbits can be evaluated by careful observation of the form of the related pairs of equations. A range of classroom exercises are provided to enable students to investigate the maps further.
Keywords:
ellipse shark;
trio maps;
chaos ellipse;
maps chaos;
fin sluze;
shark fin
Journal Title: International Journal of Mathematical Education in Science and Technology
Year Published: 2024
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Journal Title: International Journal of Mathematical Education in Science and Technology
Year Published: 2024
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!