Controlling Chaos on the Logistic Map

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Consider the logistic map given by

[more]

, 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 .

[less]

Contributed by: Housam Binous (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

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



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send