Matlab- draw bifurcation and chaotic bifurcation diagrams

#  Common logical mapping f(x)=rx(1-x)
clear;% Clear variables 
clc;% Clear the display 
r=-2:0.01:4;% The bifurcation diagram is shown in r Abscissa , Domain of definition -2 To 4
x=0.3;
% To any r, Whatever 0 To 1 Internal initial value 
for i=1:5000 % First iterate many times to achieve stability 
    x=r.*x.*(1-x);% Iterative formula 
end
% Circulation or judgment are based on end end 
figure;% Give an image board 
hold on;% When drawing a new picture, keep the old picture on the drawing board 
for i=1:1000 % These cycles are to be drawn on the diagram 
    x=r.*x.*(1-x);% Iterative formula 
    plot(r,x,'k.','markersize',1);% Draw a picture 
end

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clc,clear
[email protected](k,x)k*sin(pi*x);
x0=0.3;
for k=0.5:0.01:2;
    for i=1:300
        x0=y(k,x0);
        if i>150
            plot(k,x0,'.b')
            hold on;
        end
   end
end
grid on

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clc,clear
[email protected](k,x)1-k*x^2;
x0=0;
for k=0.01:0.005:1.99
    for i=1:300
        x0=y(k,x0);
        if i>150
              plot(k,x0,'.b')
              hold on;
        end
   end
end
grid on

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