Bifurcation diagram and lyapunov diagram

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Samaa Yasser
Samaa Yasser 2021-5-16
please can any one help me to plot the Bifurcation diagram and lyapunov diagram for this code ???? please i need it very much
x(1)=0.2350;
y(1)=0.3500;
z(1)=0.7350;
a(1)=0.0125;
b(1)=0.0157;
l(1)=3.7700;
image_height=256;
for i=1:1:70000
x(i+1)=l*x(i)*(1-x(i))+b*y(i)*y(i)*x(i)+a*z(i)*z(i)*z(i);
y(i+1)=l*y(i)*(1-y(i))+b*z(i)*z(i)*y(i)+a*x(i)*x(i)*x(i);
z(i+1)=l*z(i)*(1-z(i))+b*x(i)*x(i)*z(i)+a*y(i)*y(i)*y(i);
end
%%histogram equalization
x=ceil(mod((x*100000),image_height));
y=ceil(mod((y*100000),image_height));
z=ceil(mod((z*100000),image_height));
original=imread('peppers.jpg');
rgb=rgb2gray(original);
[row,col]=size(rgb);
imshow (rgb)
n=500;
p=600;
q=700;
for j=1:1:row
k(j)=x(j+n);
l(j)=y(j+p);
end
% for i=1:1:row
% k(i)=x(i+n);
% end
% for j=1:1:col
% l(j)=y(j+p);
% end
for j=1:1:col*row
m(j)=z(j+q);
end

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