x_(n+1) plotting

hello, i have simple series,

i wish to plot this equation for r[1,5]

how should i do it?

I tried to do a function but because the value squared and the r changes it dosnt converge,

It's part of a pretty urgent physical study so I'd love someone to help me!

Even a beginner's guide to series of this kind

[Torsten]

What do you mean by r[1,5] ?

You want to plot two series, one for r=1 and one for r=5 ?

[Keren Grinberg]

no, i mean r = linspace(0,5)

i need to cpmare this equation to others that look like that:

[Torsten]

i need to cpmare this equation to others that look like that:

What does cpmare mean ?

What is the value for x_0 you are supposed to use ?

[Torsten]

Ah, google was successful associating "compare" with "cpmare"

[Keren Grinberg]

compare sorry,

In fact the u represents a turbulent flow velocity so it is difficult to define zero conditions, but for r = 1 the initial velocity is 0

[Torsten]

Which recursion is used for the graphics you included ?

Can you give a link to a publication ?

I thought your problem was just as easy as

x0 = 0.2; 
niter = 5;
R=(0:0.1:5).';
N = numel(R); 
x = zeros(1,niter);
X = [];
for i=1:N
    r = R(i);
    x(1) = x0;
    for j=1:niter-1
        x(j+1) = r*x(j)*(1-x(j));
    end
    X = [X;x];
end
plot(R,X)

but now I have doubts if this is really what you are aiming at.

[Keren Grinberg]

no but ill try to use this, thank you very much

[Torsten]

And you can't describe the real task ?

[Keren Grinberg]

i can but i dont know if it will help for solve this,

i have an equation: () which describes an equation representing a turbulent flow. In my calculations I have done an average for this equation and right now I want to compare the average obtained (as can be seen in the graphs) to