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02-27-2008, 07:33 PM
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| Mathematics Question!? Fourth-iterate map: This exercise deals with the fourth-iterate map, f^[4](x), for the logistic map, f(x) = rx(1-x). (a) Graph f^[4](x) for various values of the model parameter r. Compare to the graphs of f(x) and f^[2](x). (b) At which value of r does a 4-cycle appear? (c) At which value of r does the 4-cycle become unstable?      |
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