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Graphical Iteration

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Visit this site: http://www.io.com/~mgscheue/chaos/iteration.html

Author:Mark Scheuern
Description: This applet demonstrates graphical iteration, using the quadratic iterator xn+1 = fa(xn) , fa(x) = ax(1-x), 0<=a<=4 and iterating for twenty steps. Try different values of x0 and a. Note that some values will produce a stable state and others result in instability. See Peitgen, Jürgens, and Saupe, Chaos and Fractals: New Frontiers of Science, Springer-Verlag, New York, 1992, for more information.

Levels: College
Languages: English
Resource Types: Books, Web Interactive/Java
Math Topics: Chaos, Fractals

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