Keywords: Logistic-burification.png Burification diagram of a logistic map Released by the author en User Ap into the public domain Generation scripts Here are some en GNU Octave scripts to experiment with the generation of en bifurcation diagrams for the en logistic map r_min 2 5; r_max 4; the range of parameter values we study n 1000; the number of parameter values we consider in this range t_max 1000; how many iterations to simulate per parameter value p_max 100; the last p_max iterations are plotted x0 0 1; we use the same initial value x0 for all parameters r linspace r_min r_max n ; pop zeros p_max n ; for k 1 n x population r k x0 t_max ; pop k x t_max-p_max+1 t_max ; end gset nokey; plot r pop 'b ' ; ---- function x population r x0 n simulates n iterations of the logistic map with parameter r and initial value x0 The results are returned in the array x x zeros n 1 ; x 1 x0; for k 1 n-1 x k + 1 r x k 1 - x k ; end endfunction Bifurkationsdiagramm der logistischen Gleichung en wikipedia Sfan00_IMG CommonsHelper 2003-07-03 Ap wikipedia en Ap 2007-05 original upload log page en wikipedia Logistic-burification png 2003-07-03 07 28 Nate Silva 568×393× 60960 bytes <nowiki>shrunk with pngcrush</nowiki> 2002-09-01 18 24 Ap 568×393× 117287 bytes <nowiki>Burification diagram of a logistic map</nowiki> 2002-09-01 18 19 Ap 2479×3508× 107003 bytes <nowiki>Burification diagram of a logistic map</nowiki> Logistic map Images with Octave source code Bifurcation |