The Quadratic Map

  • Stan Wagon


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.


Lyapunov Exponent Bifurcation Diagram Periodic Point Machine Precision Symbolic Expression 

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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