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濮撳悕锛氱緤娉?/p>
鏃堕棿锛?/p>
11
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3
鏃?
瀹為獙椤圭洰锛?/p>
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Matlab
杞欢鍩轰簬
Logistic
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浠ュ強鍒╃敤
DEV C++
杞欢銆?/p>
Excel
琛ㄦ牸缁樺埗鍥惧儚鍩轰簬
Logistic
鏄犲皠鐨勭畻娉曚骇鐢熺殑娣锋矊鐜拌薄銆傜悊瑙?/p>
Logistic
鍔犲瘑绠楁硶锛屾帉鎻″姞瀵嗚繃绋嬨�?/p>
涓�銆佸疄楠屾楠わ細
1.
瀹屾垚瀹為獙鏁欑▼
1-3
2.
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3.
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1.
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娣锋矊
(Chaos)
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闅忕潃鏃堕棿鐨勬帹杩涳紝
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绗簩绉嶆贩娌屽畾涔夋槸鍩轰簬
Li-Yorke
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Li-Yorke
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f(x)
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[a,b]
涓婄殑杩?/p>
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f(x)
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3
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n
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n
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f(x),
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锛?/p>
1
锛?/p>
f
鍛ㄦ湡鐐圭殑鍛ㄦ湡鏃犱笂鐣岋紱
锛?/p>
2
锛夐棴鍖洪棿
I
涓婂瓨鍦ㄤ笉鍙暟瀛愰泦
S
銆?/p>
2. Logisitc
娣锋矊妯″瀷
鐢变簬娣锋矊绯荤粺鍏锋湁浼殢鏈烘�с�佷笉纭畾鎬у拰瀵瑰垵濮嬫潯浠朵笌绯荤粺鍙傛暟鐨勬瀬涓烘晱鎰熸�э紝鍏惰嚜韬殑鍔ㄥ姏瀛︾壒
鎬т娇娣锋矊鐜拌薄澶╃敓鍏峰浜嗗簲鐢ㄤ簬淇濆瘑瀹夊叏鐨勬潯浠讹紝鍦ㄥ浘鍍忓姞瀵嗛鍩熻〃鐜板嚭鑹ソ鐨勫簲鐢ㄥ墠鏅�?/p>
Logistic
娣锋矊绯荤粺鏈変竴涓嚜鍙橀噺锛屾槸涓�缁存贩娌岀郴缁熴�傚惈鏈変袱涓嚜鍙橀噺鐨勬贩娌岀郴缁熸槸浜岀淮鐨勶紝鍚湁涓夌淮绯荤粺鍙婂浜?/p>
涓夌淮鐨勬贩娌岀郴缁熸槸楂樹綅娣锋矊绯荤粺銆?/p>
Logistic
娣锋矊绯荤粺鐢变笅寮忕粰鍑猴細
1
(1
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[0,1]
n
n
n
n
x
x
x
x
飦?/p>
飥?/p>
飥?/p>
飥?/p>
飪?/p>
锛?/p>
n=1,2
锛屸�︹�?/p>
(1)
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1
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3
鏃讹紝璇?/p>
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3<
位鈮?/p>
3.75
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>3.57
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浜屻�佸疄楠屾楠?/p>
涓嬮潰浠ヤ竴鍓?/p>
256
脳
256
鐨勫浘鍍?/p>
test.gif
涓轰緥锛屽埄鐢?/p>
MATLAB
杞欢杩涜鍥惧儚鍔犲瘑锛屽姞瀵嗙▼搴忓涓嬶細
%
娣锋矊鍔犲瘑
Logisitc
鍔犲瘑绠楁硶锛屽浘鐗囧儚绱犱负
256*256,
鍙洿鎺ユ斁鍦?/p>
work
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clc;
clear all;