Sanaa
Posts:
171
Registered:
3/20/12


Incomplete diagram!
Posted:
Jul 12, 2013 8:32 AM


Hi, I have a problem that I wish to plot what is called a bifurcation diagram. The map under study is given by x_((n+1)r)= 1  ru *x^2_(nr), where r is a positive constant may take 0.1,0.2,... ru is a positive parameter, and the time t runs from nr to (n+1)r, n=0,1,2,...
I have the matlab code %%%%%%%%%
% define the vector of values that r takes r_vec = [0.2]; % define the vector of colors, to plot the dat aof reach value of r in % different color color_vec = ['b'];
for rho = 0: 0.005: 2
% do a loop of values of r for j = 1 : size(r_vec,2) % define delay r = r_vec(j); % define coefficient rho %rho = 0.5; % define the number of deiscrete times in interval [k*r, (k+1)*r] n = 10; % define the nimber of iterations k = 1,.....,Nit Nit = 1000; % define the initial vector which is a vector of size n x0 = 0.3*ones(1,n); % define vectors x_next and x_previous x_next = zeros(1,n); x_previous = zeros(1,n); time = zeros(1,n);
% initialize x_previous x_previous = x0; x_next = x_previous; time = linspace(0,r,n); % set the figure details figure(1) xlabel('t') ylabel('x') %plot(time,x_next,'*') hold on for i = 1:Nit x_next = 1  rho*x_previous.^2; x_previous = x_next; time = linspace(i*r,(i+1)*r,n); end end
plot(rho,x_next(1),'.', 'Color', char(color_vec(j)),'linewidth',10) end
hold off % save the figure % print depsc map.eps %%%% The code works but I am wondering why I don't get a complete picture of the diagram, it seems that it is divided into 2 parts!!!! Any help please.

