File:Cml2e.gif

No higher resolution available.

Cml2e.gif ‎(463 × 344 pixels, file size: 1.15 MB, MIME type: image/gif, looped, 41 frames)

File information
Description	The animated gif demonstrates chaotic behavior in an uncoupled 2 dimensional lattice. Each site is updated by the logistic map $x_{n+1}=rx_{n}(1-x_{n})$ . The range of the logistic map (randomly seeded between 0.1 and 0.5) is bounded from 0 to 1. The resulting animated contour map smooths the distinction between the sites with respect to the value they hold. Each frame is taken at an iterative time step where the parameter r is increased $r=3.5,3.51,...,3.9$ . Notably not until $3.58$ does the map truly demonstrate chaotic behavior.
Source	Own work
Date	21 May 2009
Author	Travdog8 (talk) (Uploads)
Permission (Reusing this file)	See below.

Summary[edit]

The animated gif demonstrates chaotic behavior in an uncoupled 2 dimensional lattice. Each site is updated by the logistic map $x_{n+1}=rx_{n}(1-x_{n})$ . The range of the logistic map (randomly seeded between 0.1 and 0.5) is bounded from 0 to 1. The resulting animated contour map smooths the distinction between the sites with respect to the value they hold.

Each frame is taken at an iterative time step where the parameter r is increased $r=3.5,3.51,...,3.9$ . Notably not until $3.58$ does the map truly demonstrate chaotic behavior.