Finding Maxima and Minima for the Lorenz Attractor

This Demonstration finds the maxima and minima of the Lorenz system:
For various selections of the model parameters , , and , you can observe periodic behavior, period doubling, or chaotic behavior. For example, , , and shows chaotic behavior, while , , and gives periodic behavior.
The maxima and minima are easily determined using the built-in Mathematica 9 function WhenEvent. Finally, once the maxima or minima are found, a relatively straightforward extension of the present code allows the determination of all types of bifurcation diagrams.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
Built with Mathematica 9—Install the latest free CDF Player
    • 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.