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Iterations of Kaneko Map

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This Demonstration plots iterations of the Kaneko map [1] and checks for chaotic and periodic behavior. The Kaneko map is a two-dimensional iterative map of the form .

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By varying the parameters and , regions of chaotic and periodic behavior can be explored, as indicated in the lower figure.

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Contributed by: Erik Mahieu (June 2015)
Open content licensed under CC BY-NC-SA

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The Kaneko map is described in [1]. A collection of similar attractors is showcased in [2].

References

[1] D. Hermann, Algorithmen für Chaos und Fraktale, Bonn: Addison-Wesley, 1997.

[2] J. Meier. "Homepage Jürgen Meier. Info: Darstellung von Attraktoren mit Cinema." (Jun 24, 2015) www.3d-meier.de/index.html.

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