Keywords: HenonMap BifurcationDiagram.png A bifurcation diagram for the Hénon map for b 0 3 The horizontal axis is the a parameter the vertical axis is the x variable the b parameter is fixed at 0 3 The image was created by forming a 1000 x 1000 array representing increments of 0 001 in a and x A starting value of x y 0 25 was used and the map was iterated 1000 times in order to stabilize the values of x 100 000 x -values were then calculated for each value of a and for each x value the corresponding x a pixel in the image was incremented by one All values in a column corresponding to a particular value of a were then multiplied by the number of non-zero pixels in that column in order to even out the intensities Finally values above were set to 300 000 and then the entire image was normalized to 0-255 2005-09-13 own assumed PAR~commonswiki Bifurcation Henon map |