Finding Maxima and Minima for the Lorenz Attractor
This Demonstration finds the maxima and minima of the Lorenz system:[more]
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.[less]