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Date: Wed, 4 Jun 2003 23:18:13 +0800
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/pref1.=
htm">=D0=F2=D1=D4=D2=BB</A></FONT></TD>
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t.htm">=C4=BF=C2=BC</A></FONT></TD>
<TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/101.ht=
m">1</A></TD>
<TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/201.ht=
m">2</A></TD>
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m">3</A></TD>
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/401.ht=
m">4</A></TD>
<TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/501.ht=
m">5</A></TD>
<TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/601.ht=
m">6</A></TD>
<TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/701.ht=
m">7</A></TD>
<TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/801.ht=
m">8</A></TD>
<TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/901.ht=
m">9</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/1001.h=
tm">10</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/EP.htm=
">=CE=B2=C9=F9</A></TD>
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/REF.ht=
m">=B2=CE=BF=BC=CE=C4=CF=D7</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/EE.htm=
">=BA=F3=BC=C7</A></TD>
<TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/DDEX.h=
tm">=CB=F7=D2=FD</A></TD></TR></TBODY></TABLE></FONT>
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<TR>
<TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/601.ht=
m">6.1</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/602.ht=
m">6.2</A></TD>
<TD><A=20
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href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/603.ht=
m">6.3</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/604.ht=
m">6.4</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/605.ht=
m">6.5</A></TD>
<TD><A=20
=
href=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/606.ht=
m">6.6</A></TD></TR></TBODY></TABLE></FONT></CENTER>
<HR width=3D"100%">
<H2>6.6 =C5=A3=B6=D9=B7=A8=C7=F3=B8=F9</H2>
<P></P>
<P>=C7=F3=B4=FA=CA=FD=B7=BD=B3=CC<I>f</I>(<I>x</I>)=3D0=B5=C4=BE=AB=C8=B7=
=BD=E2=CA=C7=BA=DC=C4=D1=B5=C4=CA=C2=C7=E9=A3=AC=CC=D8=B1=F0=B5=D8=B5=B1<=
I>f</I>(<I>x</I>)=CA=C7=20
=B8=DF=D3=DA5=B4=CE=B5=C4=B6=E0=CF=EE=CA=BD=CA=B1=A3=AC=B2=BB=C4=DC=CD=A8=
=B9=FD=B6=E0=CF=EE=CA=BD=CF=B5=CA=FD=B5=C4=D3=D0=CF=DE=B4=CE=D4=CB=CB=E3=B5=
=C3=B5=BD=B8=F9=B5=C4=B1=ED=B4=EF=CA=BD=A1=A3=D4=DA=D5=E2=D6=D6=C7=E9=BF=F6=
=CF=C2=C7=F3=20
=B7=BD=B3=CC=B5=C4=BD=FC=CB=C6=BD=E2=C8=B4=CA=C7=BF=C9=D2=D4=B5=C4=A3=AC=C5=
=A3=B6=D9=B7=A8=BE=CD=CA=C7=D2=BB=D6=D6=B1=C8=BD=CF=BA=C3=B5=C4=D6=F0=B4=CE=
=B1=C6=BD=FC=B7=A8=A1=A3=C5=A3=B6=D9=B7=A8=D4=DA=C7=F3=B8=F9=B9=FD=B3=CC=D6=
=D0=B1=C6=BD=FC =
=BA=DC=BF=EC=A3=AC=D3=C3=BC=C6=CB=E3=BB=FA=BC=C6=CB=E3=CA=C7=CA=AE=B7=D6=B7=
=BD=B1=E3=B5=C4=A1=A3</P>
<P>=C5=A3=B6=D9=B7=A8=B5=C4=B1=BE=D6=CA=C8=D4=C8=BB=CA=C7=A1=B0=D2=D4=D6=B1=
=B4=FA=C7=FA=A1=B1=A3=AC=CA=D7=CF=C8=B2=C2=B2=E2=D2=BB=B8=F6=D6=B5<I>x</I=
>_1=A3=AC=D3=C3=CB=FC=BD=FC=CB=C6=B7=BD=B3=CC=B5=C4=B8=F9<I>=20
c</I>,=D3=C3=B9=FD(<I>x</I>_1,<I>f</I>(<I>x</I>_1))=B5=E3=B5=C4=C7=D0=CF=DF=
</P>
<UL><I>y=3Df</I>(<I>x</I>_1)+<I>f</I>=A1=E4(<I>x</I>_1)(<I>x-x</I>_1)</I>=
</UL>
<P>=BD=FC=CB=C6=B4=FA=CC=E6=C7=FA=CF=DF<I>f</I>(<I>x</I>)</I>,=C8=BB=BA=F3=
=D3=C3=C7=D0=CF=DF=B7=BD=B3=CC</P>
<UL><I>y=3Df</I>(<I>x</I>_1)+<I>f</I>=A1=E4(<I>x</I>_1)(<I>x</I>-<I>x</I>=
_1)</I>=3D0</UL>
<P>=B5=C4=B8=F9</P>
<UL><I>x=3Dx</I>_2=3D<I>x</I>_1-<I>f</I>(<I>x</I>_1)/<I>f</I>=A1=E4(<I>x<=
/I>_1)</I></UL>
<P>=BD=FC=CB=C6=B4=FA=CC=E6=C7=FA=CF=DF=B7=BD=B3=CC=B5=C4=B8=F9<I>c</I>,=D5=
=E2=D1=F9=BE=CD=B5=C3=B5=BD<I>c</I>=B5=C4=B5=DA=B6=FE=B8=F6=BD=FC=CB=C6=D6=
=B5=A1=A3=D2=C0=B4=CB=C0=E0=CD=C6=BF=C9=B5=C3=B5=BD=B5=FC =
=B4=FA=B9=AB=CA=BD</P>
<UL><I>x</I>_(<I>n</I>+1)=3D<I>x_n-f</I>(<I>x_n</I>)/<I>f</I>=A1=E4(<I>x_=
n</I>).</UL>
<P>=D4=DA=B8=B4=C6=BD=C3=E6=C9=CF=D1=A1=B6=A8=D2=BB=B8=F6=C7=F8=D3=F2=A3=AC=
=B6=D4=D3=DA=C8=CE=D2=E2=B3=F5=CA=BC=B5=E3(=B3=FD=C8=A5(0=A3=AC0)=B5=E3)=A3=
=AC=CC=D6=C2=DB=CB=FC=D4=DA=C5=A3=B6=D9=B7=A8=B5=FC=B4=FA=B9=FD=B3=CC=D6=D0=
=B5=C4=D0=D0=CE=AA=A1=A3=D2=BB=B0=E3=D1=A1<I>f(x)=3Dx^p</I>-1,=C6=E4=D6=D0=
<I>p</I>=CA=C7=B4=F3=D3=DA2=B5=C4=D5=FD=D5=FB=CA=FD=A1=A3=D5=E2=D1=F9=A3=AC=
=B5=FC=B4=FA=B9=AB=CA=BD=BB=B9=BF=C9=D2=D4=20
=B8=C4=D0=B4=CE=AA</P>
<UL><I>x</I>_(<I>n</I>+1)=3D[(<I>p</I>-1)<I>x^p_n</I>+1]/<I>px</I>^(<I>p<=
/I>-1)_<I>=20
n</I>.</UL>
<P>=B6=D4=D3=DA<I>x</I>^3-1=3D0=A3=AC=D3=D0=C8=FD=B8=F6=B8=F9=A3=BA</P>
<UL><I>x</I>_1=3D1,<BR><I>x</I>_2=3D[-1+SQRT(3)i]/2=A3=AC<BR><I>x</I>_3=3D=
[-1-SQRT(3)i]/2=A3=AC</UL>
<P>=C8=FD=B8=F6=B8=F9=BE=F9=D4=C8=B5=D8=B7=D6=B2=BC=D4=DA=B5=A5=CE=BB=D4=B2=
=C9=CF=A1=A3=D5=E2=C8=FD=B8=F6=B8=F9=D6=DC=CE=A7=B9=B9=B3=C9=C8=FD=B8=F6=A1=
=B0=CE=FC=D2=FD=C5=E8=A1=B1(attractor=20
basin)=A3=AC=B3=F5=CA=BC=B5=E3=D1=B8=CB=D9=B1=BB=CE=FC=D2=FD=B5=BD=C5=E8=C4=
=DA=A3=AC=D7=EE=BA=F3=CD=A3=D6=B9=D4=DA=C8=FD=B5=E3=D6=AE=D2=BB=A1=A3=D3=C3=
=BC=C6=CB=E3=BB=FA=B5=FC=B4=FA=A3=AC=D2=D4=B5=B1=C7=B0=B5=E3=B5=BD=C8=FD=B8=
=F6=D6=D5=B5=E3=B5=C4=BE=E0=C0=EB=D4=B6=BD=FC=CE=AA=B1=EA=D7=BC=A3=AC=B1=EA=
=C9=CF=B2=BB=CD=AC=B5=C4=D1=D5=C9=AB=A3=AC=BE=CD=C4=DC=B5=C3=B5=BD=C3=C0=C0=
=F6=B5=C4=B7=D6=D0=CE=CD=BC=A3=AC=CC=D8=B1=F0=CA=C7=D4=DA120=A1=E3=CF=DF=A1=
=A2240=A1=E3=CF=DF=B8=BD=BD=FC=D3=D0=B8=B4=D4=D3=B5=C4=A1=B0=CF=EE=C1=B4=A1=
=B1=BD=E1=B9=B9=A1=A3</P>
<P>=B5=FC=B4=FA=B9=FD=B3=CC=D5=D5=C0=FD=D2=AA=CF=C8=BD=AB=B8=B4=CA=FD=B7=D6=
=BD=E2=CE=AA=CA=B5=B2=BF=BA=CD=D0=E9=B2=BF=A3=BA</P>
<UL><I>x</I>=A1=FA2<I>x</I>/3+(<I>x</I>^2-<I>y</I>^2)/[3(<I>x</I>^2+<I>y<=
/I>^2)^2]=A3=AC<BR><I>y</I>=A1=FA2<I>y</I>/3-2<I>x</I><I>y</I>/[3(<I>x</I=
>^2+<I>y</I>^2)^2]=20
</UL>
<P></P>
<P>=D2=D4<I>f</I>(<I>x</I>)=3D<I>x</I>^3-1=CE=AA=C0=FD=A3=AC=D3=C3=C5=A3=B6=
=D9=B7=A8=C9=FA=B3=C9=B7=D6=D0=CE=CD=BC=D0=CE=B5=C4=D2=BB=B8=F6=BC=F2=B5=A5=
=B5=C4PASCAL=D4=B4 =B3=CC=D0=F2=C8=E7=CF=C2=A3=BA </P>
<P>
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src=3D"http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/p608.gi=
f"=20
width=3D600>
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