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Controlling Chaos on the Logistic Map


	Consider the logistic map given by , where . One method available to control the chaos in this one-dimensional system consists of applying periodic proportional pulses once every iterations ( when ). The number of fixed points is equal to . For a specific choice of , there are only a few values of that stabilize the logistic map. These ranges are restricted to , where .


	Contributed by: Housam Binous

S. Lynch, Dynamical Systems with Applications Using Mathematica, Boston: Birkhäuser, 2007.

Chaos (Wolfram MathWorld)

Logistic Map (Wolfram MathWorld)

"Controlling Chaos on the Logistic Map" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ControllingChaosOnTheLogisticMap/

Contributed by: Housam Binous

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