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An Example of Two-Dimensional Chaos

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This Demonstration illustrates the behavior of the two-dimensional map , . Depending on the choices of parameters and initial condition, the behavior may be periodic or chaotic. For some choices of parameters, this behavior is sensitive to small changes in the initial condition.

Contributed by: Erik Mahieu (December 2011)
Open content licensed under CC BY-NC-SA

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[1] J. L. Casti, "Order in Chaos," chap. 4 in Reality Rules: I, New York: John Wiley & Sons, 1992 p. 273. books.google.com/books/about/Reality_rules.html?id=nPQIuVYBjBQC.

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