An Example of Two-Dimensional Chaos

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.

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DETAILS

Reference
[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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