Finding Maxima and Minima for the Lorenz Attractor

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This Demonstration finds the maxima and minima of the Lorenz system:

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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.

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Contributed by: Housam Binous (January 2013)
Open content licensed under CC BY-NC-SA


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