±±¾©Ê¯ÓÍ»¯¹¤Ñ§Ôº2026ÄêÑо¿ÉúÕÐÉú½ÓÊÕµ÷¼Á¹«¸æ
²é¿´: 1908  |  »Ø¸´: 5

bifurcation

°æÖ÷

ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡

[½»Á÷] ÄÄλÅóÓÑ»áÓÃMATLAB»­bifurcation diagram£¿ ÒÑÓÐ3È˲ÎÓë

ÄÄλÅóÓÑ»áÓÃMATLAB»­bifurcation diagram£¿
ÄÜ·ñÌṩÏà¹Ø·ÂÕæ³ÌÐò
лл
»Ø¸´´ËÂ¥
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

qinzuoya

¶Ò»»¹ó±ö

ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡

²»»á£¬ÆÚ´ý¸ßÈË¡£
2Â¥2013-04-09 15:23:01
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

ÁúÔµÀË×Ó

³¬¼¶°æÖ÷

ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡

¡ï
Сľ³æ: ½ð±Ò+0.5, ¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
¸ßÈËÔõô»¹Ã»³öÏÖ°¡£¿
3Â¥2013-05-23 22:19:21
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

somomo91

гæ

¡ï ¡ï ¡ï
Сľ³æ: ½ð±Ò+0.5, ¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
csgt0: ½ð±Ò+2, лл 2013-06-25 16:11:39
close all; clear all; clc
avalues=2.5:0.005:4;
N=1000;
a=avalues;
x0 = [];
for i=1:length(avalues)
    x0=[x0 rand(1)];
end
x=x0;
for n=1:.3*N
    x=a.*x.*(1-x);
end
figure
hold on
for n=.3*N:N
    x=a.*x.*(1-x);
    plot(a,x,'.','MarkerSize',0.5)
end

ÄÄλÅóÓÑ»áÓÃMATLAB»­bifurcation diagram£¿

» ±¾ÌûÒÑ»ñµÃµÄºì»¨£¨×îÐÂ10¶ä£©

4Â¥2013-06-25 07:07:01
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

bifurcation

³¬¼¶°æÖ÷

ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡ÓÅÐ㣡£¡ÓÐľÓУ¡£¡£¡

Ëͺ컨һ¶ä
ÒýÓûØÌû:
4Â¥: Originally posted by somomo91 at 2013-06-25 07:07:01
close all; clear all; clc
avalues=2.5:0.005:4;
N=1000;
a=avalues;
x0 = [];
for i=1:length(avalues)
    x0=;
end
x=x0;
for n=1:.3*N
    x=a.*x.*(1-x);
end
figure
hold on
for n=.3*N:N
   ...

лл!·Ç³£¸Ðл.
5Â¥2013-06-25 07:21:47
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

somomo91

гæ

ÒýÓûØÌû:
5Â¥: Originally posted by bifurcation at 2013-06-25 07:21:47
лл!·Ç³£¸Ðл....

ºÇºÇ£¬²»¿ÍÆø
лл
6Â¥2013-06-25 14:59:07
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ bifurcation µÄÖ÷Ìâ¸üÐÂ
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] 309·Ö085801Çóµ÷¼Á +5 ѧԱGtwj7W 2026-03-31 5/250 2026-03-31 23:09 by liu823948201
[¿¼ÑÐ] Ò»Ö¾Ô¸£ºÎ÷±±´óѧ£¬Ó¢Ò»ÊýÒ»408-284·ÖÇóµ÷¼Á +7 12.27 2026-03-27 7/350 2026-03-31 21:59 by lbsjt
[¿¼ÑÐ] ¿¼Ñе÷¼Á +9 СÀ¯ÐÂ±Ê 2026-03-29 10/500 2026-03-31 19:52 by Dyhoer
[¿¼ÑÐ] ¿¼ÑвÄÁϹ¤³Ì351·Öµ÷¼Á +4 Õû¸öºÃµÄ 2026-03-31 4/200 2026-03-31 19:36 by ÄÑ0121
[¿¼ÑÐ] Ò»Ö¾Ô¸»ª¶«Àí¹¤´óѧ£¬080500ѧ˶£¬317·Ö£¬Çóµ÷¼Á +9 s1145 2026-03-31 9/450 2026-03-31 18:47 by JourneyLucky
[¿¼ÑÐ] 308Çóµ÷¼Á +11 īīĮ 2026-03-25 11/550 2026-03-31 17:54 by Î޼ʵIJÝÔ­
[¿¼ÑÐ] µ÷¼ÁÇóԺУÕÐÊÕ +7 º×¾¨¸ë 2026-03-28 7/350 2026-03-31 11:21 by oooqiao
[¿¼ÑÐ] ¸£½¨Àí¹¤´óѧ²ÄÁÏѧԺÏȽøºÏ½ðÍŶÓÕÐÊÕ¿¼Ñе÷¼ÁѧÉú +3 ´ó»ª½ðÉ̶¼ 2026-03-30 4/200 2026-03-31 01:04 by ·½Ó¢¿¡602
[¿¼ÑÐ] ¹þ¶û±õ¹¤Òµ´óѧ²ÄÁÏÓ뻯¹¤×¨Ë¶378Çóµ÷¼Á +3 Ëþ±ÈÎÚ˹ 2026-03-30 3/150 2026-03-30 22:55 by Î޼ʵIJÝÔ­
[¿¼ÑÐ] 322Çóµ÷¼Á +10 ËÎÃ÷ÐÀ 2026-03-27 10/500 2026-03-30 18:47 by 544594351
[¿¼ÑÐ] 0703»¯Ñ§Çóµ÷¼Á +6 µ¤ÇàÄÌ¸Ç 2026-03-26 8/400 2026-03-30 18:33 by ̽123
[¿¼ÑÐ] 310Çóµ÷¼Á +10 ÕùÈ¡¾Åµã˯ 2026-03-30 10/500 2026-03-30 16:45 by ztnimte
[¿¼ÑÐ] 298Çóµ÷¼Á +3 ʲôÊÇÅÖÍ·Óã 2026-03-30 5/250 2026-03-30 14:41 by ÇຣСÎ÷Å£
[¿¼ÑÐ] Çóµ÷¼Á +10 ÕÅzz111 2026-03-27 11/550 2026-03-30 09:17 by Î޼ʵIJÝÔ­
[¿¼ÑÐ] 11408Èí¼þ¹¤³ÌÇóµ÷¼Á +3 Qiuѧing 2026-03-28 3/150 2026-03-28 21:50 by zhq0425
[¿¼ÑÐ] 312£¬ÉúÎïѧÇóµ÷¼Á +3 СÒëͬѧabc 2026-03-28 3/150 2026-03-28 15:32 by ÂäÉ˼
[¿¼ÑÐ] 394Çóµ÷¼Á +3 ºÃʶàÄ¥¾²ºò¼ÑÒ 2026-03-26 5/250 2026-03-28 14:24 by ÌÆãå¶ù
[¿¼ÑÐ] ҩѧ105500Çóµ÷¼Á +3 Ssun¡£¡£ 2026-03-28 3/150 2026-03-28 11:24 by lxf170613
[¿¼ÑÐ] 315·ÖÇóµ÷¼Á +7 26¿¼ÑÐÉϰ¶°æ26 2026-03-26 7/350 2026-03-28 04:05 by fmesaito
[¿¼ÑÐ] ¡¾2026¿¼Ñе÷¼Á¡¿ÖÆÒ©¹¤³Ì 284·Ö ÇóÏà¹Ø×¨Òµµ÷¼ÁÃû¶î +4 Ô¬Û¼Û¼ 2026-03-25 8/400 2026-03-25 14:32 by lbsjt
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û