Cobweb plot

Construction of a cobweb plot of the logistic map , showing an attracting fixed point.
An animated cobweb diagram of the logistic map , showing chaotic behaviour for most values of .

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.

This page is issued from Wikipedia. The text is available under Creative Commons Attribution-Share Alike 4.0 unless otherwise noted. Additional terms may apply for the media files.