navbar-top.gif
btn_spacer.gifHomeTopicsLatestRandomAboutFAQsParticipateAuthoring Areabtn_spacer.gif

Cellular Automaton Classification according to Attractor Type

Choose a class of attractor type and a rule from that attractor type. The top graphic shows an evolution of the rule from random initial conditions. The bottom graphic shows a perturbed evolution of the CA on top, with affected cells highlighted. Change the number of perturbed cells, the location of perturbation, or the initial conditions.


The classification according to attractor type is from W. Li and N. Packard, "The Structure of the Elementary Cellular Automata Rule Space," Complex Systems, 4(3), 1990 pp. 281-297. The classes are (1) null point, (2) homogenous, (3) periodic, (4) locally periodic, and (5) globally chaotic. There are 88 rules, reduced from the 256 elementary rules under the left-to-right transformation, the 0 to 1 transformation, or a combination. In its default setting, the Demonstration highlights new black cells and new white cells only. Different color settings can reveal the unhighlighted, perturbed evolution or the changes superimposed on the unaffected cells.
Free Download: Mathematica Player--Runs all Demonstrations & more


Share & Bookmark This Demonstration


Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. We will keep your information private. We will not give it to any third party.
Privacy Policy »

©  2008 The Wolfram Demonstrations Project & Contributors    Wolfram Research    Site Index    Terms of Use    Privacy Policy    RSS    Atom