Custom Iterated Maps

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Create your own custom iterated map by dragging, creating, or deleting the locators in this Demonstration. See the effect on the trajectory and the orbit of the successive iterations. Fine-tune the search for periodic behavior by choosing the right initial condition.
Contributed by: Erik Mahieu (April 2013)
Open content licensed under CC BY-NC-SA
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"Custom Iterated Maps"
http://demonstrations.wolfram.com/CustomIteratedMaps/
Wolfram Demonstrations Project
Published: April 19 2013