File:Logistic-burification.png
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Logistic-burification.png (568 × 393 pixels, file size: 60 KB, MIME type: image/png)
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DescriptionLogistic-burification.png |
English: Burification diagram of a logistic map
Released by the author (en:User:Ap) into the public domain.
Generation scriptsHere 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 Deutsch: Bifurkationsdiagramm der logistischen Gleichung |
Date | 3 July 2003 (original upload date) |
Source | Transferred from en.wikipedia to Commons by Sfan00_IMG using CommonsHelper. |
Author | Ap at English Wikipedia |
Licensing
[edit]Public domainPublic domainfalsefalse |
This work has been released into the public domain by its author, Ap at English Wikipedia. This applies worldwide. In some countries this may not be legally possible; if so: Ap grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.Public domainPublic domainfalsefalse |
Original upload log
[edit]The original description page was here. All following user names refer to en.wikipedia.
- 2003-07-03 07:28 Nate Silva 568×393× (60960 bytes) shrunk with pngcrush
- 2002-09-01 18:24 Ap 568×393× (117287 bytes) Burification diagram of a logistic map
- 2002-09-01 18:19 Ap 2479×3508× (107003 bytes) Burification diagram of a logistic map
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 22:19, 28 March 2009 | 568 × 393 (60 KB) | File Upload Bot (Magnus Manske) (talk | contribs) | {{BotMoveToCommons|en.wikipedia|year={{subst:CURRENTYEAR}}|month={{subst:CURRENTMONTHNAME}}|day={{subst:CURRENTDAY}}}} {{Information |Description={{en|Burification diagram of a logistic map Released by the author (en:User:Ap) into the public domain |
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