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Web Diagram


Web diagram of the logistic map

A web diagram, also called a cobweb plot, is a graph that can be used to visualize successive iterations of a function y=f(x). In particular, the segments of the diagram connect the points (x,f(x)), (f(x),f(f(x))), (f(f(x)),f(f(f(x)))), .... The diagram is so-named because its straight line segments "anchored" to the functions y=x and y=f(x) can resemble a spider web. The animation above shows a web diagram for the logistic map f(x)=rx(1-x) with r=3.741.


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References

Gleick, J. Chaos: Making a New Science. New York: Penguin Books, p. 176, 1988.Gorini, C. A. The Facts on File Geometry Handbook. New York: Facts on File, p. 178, 2003.

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Web Diagram

Cite this as:

Weisstein, Eric W. "Web Diagram." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/WebDiagram.html

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