Plotting a piecewise function for an arbitrary itration and then take intersection of them.

My function is this :

s(x)= piecewise(0<= x < 1/3 , mod(x+1/4, 1), 1/3<= x < 2/3 , mod(x+1/2, 1), 2/3<= x <=1 , mod(x+5/6 , 1);

I want to plott s^k(x) for k= 1 , ... , n. I want to see them in one diagram at the same time. and then I want to see the intersection of s^k(x) for k=1 , ..., n.

Answer 1

[Torsten]

n=5;

nx=50;

x1=linspace(0,1/3,nx);

x2=linspace(1/3,2/3,nx);

x3=linspace(2/3,1,nx);

X = [x1(1:nx-1).';x2(1:nx-1).';x3.');

Y1=zeros(nx-1,n);

Y2=zeros(nx-1,n);

Y3=zeros(nx,n);

for i=1:n

x1 = mod(x1+0.25,1);

x2 = mod(x2+0.5,1);

x3 = mod(x3+5/6,1);

Y1(:,i) = x1(1:nx-1);

Y2(:,i) = x2(1:nx-1);

Y3(:,i) = x3;

end

Y = [Y1;Y2;Y3];

plot(X,Y)