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crowding/logistic.ijs

Created April 10, 2014 05:49
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Draw the logistic map in J, annotated.
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logistic.ijs
'dot;color black' plot (; 50&}.@:((**(1-]))^:(i. 200)&0.25)) 2.4 ([+-~*((%~i.)100)) 4
NB. 100 numbers in [0,1) ^^^^^^^^^
NB. rescaled to ^^^^^
NB. 100 numbers in [2.4,4) ^^^ ^
NB. makes "x", ^^^^^^^^^^^^^^^^^^^^^^^^
NB. ^^^^^^^^^ function y -> y * (1-y)*x
NB. ^^^^^^^^^^ applied 200 times
NB. ^^^^^ starting with y=0.25
NB. ^^^^^^^ then dropping first 50 iterations
NB. ^ put original "x" alongside result
NB.^^^^^^^^^^^^^^^^^^^ and plot points
NB. (%~i.)&100
NB. 2.4 ([+-~*((%~i.)&:100)) 4
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