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on 6 Oct 2021
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%see: symmetry in chaos
% by M. Field and M. Golubitsky
s=1000;
w=2.8;
d=w/s;
f=zeros(s,s);
l=1.5;
a=-0.95;
b=0.12;
g=-0.805;
z=0.1+0.1*i;
t=1e7;
m=1;
n=3;
h=20;
for k=1:t
c=conj(z);
z=(l+a*z*c+b*real(z^n))*z+g*c^(n-1);
X=round(real(z)/d+s/2);
Y=round(imag(z)/d+s/2);
if (X>0)&(X<=s)&(Y>0)&(Y<=s)&(f(Y,X)<h)
f(Y,X)=f(Y,X)+1/(m+f(Y,X));
end
end
imshow(f,[])
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