I am working on logistic maps.
Can anyone help me in getting the matlab code for trajectory of logistic map, that is graph code for plot of x_n vs N for different values of r.
I shall be thankful to them.
Here is a sample Matlab code that generates a plot of the trajectory of the logistic map for different values of the parameter r:
% Set the number of iterations
N = 100;
% Set the initial value of x
x = 0.5;
% Set the range of values for r
rmin = 2;
rmax = 4;
% Create a vector of values for r
r = linspace(rmin, rmax, N);
% Initialize a vector to store the values of x for each iteration
x_vals = zeros(1, N);
% Iterate through the values of r
for i = 1:N
% Compute the next value of x using the logistic map equation
x = r(i) * x * (1 - x);
% Store the value of x
x_vals(i) = x;
end
% Plot the trajectory of the logistic map
plot(1:N, x_vals);
This code generates a plot of the trajectory of the logistic map for N iterations, starting with an initial value of x=0.5 and using a range of values for the parameter r from rmin to rmax. You can adjust the values of N, x, rmin, and rmax as needed to suit your needs.
Hope this help
Manish Jain Here is an example Matlab code for producing the logistic map's trajectory:
% Set the parameter r
r = 3.8;
% Set the initial value of x
x = 0.2;
% Set the number of iterations
num_iterations = 50;
% Initialize vectors to store the x and N values
x_values = zeros(1, num_iterations);
N_values = 1:num_iterations;
% Iterate through the logistic map
for i = 1:num_iterations
x = r*x*(1-x);
x_values(i) = x;
end
% Plot the trajectory
plot(N_values, x_values, 'o-');
xlabel('N');
ylabel('x_n');
Starting with an initial value of x=0.2, this code will create a plot of the logistic map's trajectory with the parameter r=3.8. The plot will display the value of x at each iteration (x n) as a function of the number of iterations (N). The code iterates through the logistic map and stores the x values in a vector, which is then visualized using Matlab's "plot" function.
see this
https://www.mathworks.com/matlabcentral/answers/1886772-can-anyone-give-me-matlab-code-for-trajectory-of-logistic-map-x_n-vs-n
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