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The Quadratic Map

  • Stan Wagon

Abstract

There are several ways to examine the dynamics of the quadratic map defined by f r (x) = rx(1−x). The image above is from a demonstration that shows the bifurcation diagram for f r , while allowing the user to move a slider (the red line) which causes the corresponding cobweb plot to appear as well. The example shown has r set to 3.84, for which the limiting behavior is a 3-cycle.

Keywords

Lyapunov Exponent Bifurcation Diagram Periodic Point Machine Precision Symbolic Expression 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Stan Wagon
    • 1
  1. 1.Department of Mathematics and Computer ScienceMacalester CollegeSt. PaulUSA

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