Wolfram Demonstrations Project

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

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

Contributed by: Housam Binous

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

RELATED RESOURCES

Mathematica » The #1 tool for creating Demonstrations and anything technical.	Wolfram\|Alpha » Explore anything with the first computational knowledge engine.	MathWorld » The web's most extensive mathematics resource.	Course Assistant Apps » An app for every course— right in the palm of your hand.
Wolfram Blog » Read our views on math, science, and technology.	Computable Document Format » The format that makes Demonstrations (and any information) easy to share and interact with.	STEM Initiative » Programs & resources for educators, schools & students.	Computerbasedmath.org » Join the initiative for modernizing math education.

Controlling Chaos on the Logistic Map