how to evaluate equation at different values?

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Omar B. 2021-9-20

编辑： Omar B. 2021-9-21

I'd like to find and save x at different values of mu.

Itried to write mu=linspace (2.4,4,1000) but I did not know how to complete the code.

Can you please help me.

mu=linspace(2.4,4,1000);
x(1)=.5;
    for i=1:10
      x(i+1)=mu*x(i)*(1-x(i));
    end

KSSV 2021-9-20

mu=linspace(2.4,4,1000);
x = zeros(size(mu)) ; 
x(1)=.5;
for i=1:10
    x(i+1)=mu(i)*x(i)*(1-x(i));
end
plot(mu,x)

Walter Roberson 2021-9-20

mu_min=2.4; mu_max=4; %range of mu values

n_mu=500; %number of mu pixels

n_x=400; %number of x pixels

mu_edges=linspace(mu_min,mu_max,n_mu+1); %edges of mu pixels

mu=(mu_edges(1:n_mu)+mu_edges(2:n_mu+1))/2; %values of mu on which to perform computation

x_edges=linspace(0,1,n_x+1); %edges of x pixels

n_trans=200000; %transient iterations

n_data=100000; %number of x values per mu value

x_data=zeros(n_data,n_mu); %x-data used to construct figure

num_mu = length(mu);

x(1,1:num_mu)=0.5; %initial condition

%---------------------------

for i=1:30 %should be n_trans

x(i+1, :) = mu .* x(i, :) .* (1-x(i,:));

end

plot(x)

Omar B. 2021-9-20

编辑：Omar B. 2021-9-20

Thank you so much.

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