# Iterated Logistic function with final-state diagram

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globals [ ;; setting globals mylist axis ] breed [ axis-turtles axis-turtle ] ;; these are turtles as part (i.e. axes tips) of X and Y axes breed [ m-turtles m-turtle ] ;; thes are turtles to be plotted on the final-state diagram patches-own [ ;; properties of patches used to generate the coordinates axes alpha omega ] to setup ca set mylist list (0) (X0) ;; setting the intial list of values create-axis ;; to be iterated by logistic function setup-alpha ;; setting components of X and Y axes setup-omega reset-ticks end to create-axis ;; creating X and Y axes ask patches with [ pycor = 0 ] [ set pcolor white ] create-axis-turtles 1 [ set color yellow set size 8 set heading -90 setxy 0 0 ] create-axis-turtles 1 [ set color yellow set size 8 set heading 90 setxy 400 0 ] end to setup-alpha ask patch 5 5 [ set plabel "0" set plabel-color white ] end to setup-omega ask patch 398 5 [ set plabel "1.0" set plabel-color white ] end to go ;; this is the procedure of iteration if r-parameter > 4 or X0 > 1 or X0 < 0 ;; the message that will appear if r or X0 values [ ;; are set outside the recommende range ask patch 350 4 [ set plabel "ERROR: r must be between 0 and 4.0 // X0 must be between 0 and 1.0." set plabel-color yellow ] stop ] set mylist lput result mylist ;; procedure of iteration where the results are added to a list if ticks >= Num-iterations [ stop ] ;; and a new turtle of red color is created with every iteration create-m-turtles 1 [ ;; result of the iteration serves as x-coordinates for this turtle set color red ;; according to which it is plotted on final state diagram set shape "circle" set size 5 setxy (last mylist * 400) (0) ] if ticks <= (num-iterations) / 1.1 ;; only last 10% of turtles are plotted [ask m-turtles [die]] tick end to-report result ;; reporter describing the iteration procedure report r-parameter * last mylist * (1 - last mylist) ;; based on previous iteration result end

There is only one version of this model, created about 5 years ago by Victor Iapascurta.

## Attached files

File | Type | Description | Last updated | |
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Iterated Logistic function with final-state diagram.png | preview | Preview for 'Iterated Logistic function with final-state diagram' | about 5 years ago, by Victor Iapascurta | Download |

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