Lesson plan
Cobweb plot
. y = r x (1-x) , showing chaotic behaviour for most values of r > 3.57 . In mathematics, specifically dynamical systems, a cobweb plot, known also as Lémeray diagram or Verhulst diagram, is a visual tool used to investigate the qualitative behaviour of one-dimensional iterated functions, such as the logistic map. The technique was introduced in 1822 by Adrien-Marie Legendre. Using a cobweb plot, it is possible to infer the long-term status of an initial condition under repeated application of a map.
Article summary
. y = r x (1-x) , showing chaotic behaviour for most values of r > 3.57 . In mathematics, specifically dynamical systems, a cobweb plot, known also as Lémeray diagram or Verhulst diagram, is a visual tool used to investigate the qualitative behaviour of one-dimensional iterated functions, such as the logistic map. The technique was introduced in 1822 by Adrien-Marie Legendre. Using a cobweb plot, it is possible to infer the long-term status of an initial condition under repeated application of a map.
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.