Iterates, Cycles, and Bifurcations of the Logistic Map

Iterates of the logistic map present periodic cycles. A period tree in a map implies regular cycles of every other length as well as completely chaotic cycles. You can see different periodic cycles on the diagram of bifurcation by observing the number of points for different values of the parameter . The complete diagram of bifurcation can also be seen.

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Related Curriculum Standards

US Common Core State Standards, Mathematics