9873

Bifurcation Diagram of the Hénon Map

The Hénon map is the two-dimensional map described by the equations
,
.
The plot shows the last 36 coordinates after iterations of the Hénon map using the initial point .
To obtain an interesting region of periodic and chaotic behavior, we use values between 0.91 and 1.41 with . Changing these values will give very similar results.
You can click anywhere in the diagram to see a magnified inset in the lower-left corner.

THINGS TO TRY

SNAPSHOTS

  • [Snapshot]
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DETAILS

Using the lowest values for and will let you quickly find an appropriate region to inspect. Larger values will show a cleaner, more detailed plot.
The idea for the Locator-magnifier was taken from Ed Pegg Jr.
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