Quite BASIC -- The Henon Strange Attractor

Quite BASICThe Henon Strange AttractorThe Henon Map is one of the most studied system in chaos theory. The canonical Henon map has an unstable orbit called a strange attractor. You can learn more on Wikipedia. This short program plots the strange attractor. Try changing the PLOT command to zoom in on a smaller region to get better resolution! Quite BASIC is a BASIC interpreter written in Javascript and it looks like either your browser doesn't support Javascript or Javascript is disabled. This means that the site will not function properly. We recommend newer versions of IE or Firefox. On Macs, use Safari or Firefox, and on Linux systems we recommend Firefox. Opera should work too.

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BASIC Program

REM Quite BASIC Math Project
REM The Henon Map
CLS
REM Set the parameters A and B
LET A = 1.4
LET B = 0.3
REM Set initial values for X and Y
LET X = 0.5
LET Y = 0.5
REM Initialize the iteration counter I
LET I = 0
REM Main iteration loop. Start plotting after 25 iterations
FOR I = 1 TO 10000
LET Z = X
LET X = Y + 1 - A * X * X
LET Y = B * Z
IF I > 25 THEN PLOT 45 * (X + 1.4), 130 * (Y + 0.5), "white"
LET I = I + 1
NEXT I
      
  

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>QUITE BASIC
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