An Interval Eventually Bounding Trajectories of the Logistic Map

This Demonstration illustrates the iteration of the logistic map for .
All the points of the interval are mapped into . Also, the interval is mapped into itself. If an iteration belongs to it can be proved that after a finite number of steps the trajectory is contained in . Therefore every trajectory whose starting point belongs to (0, 1) is eventually contained in

THINGS TO TRY

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.