MATLAB Source Code for Generating Logistic Chaotic Random Sequence

The following MATLAB source code generates a Logistic chaotic random sequence:

% Define the function for generating chaotic sequence

function [out] = logistic_map(x,n)

% x: Initial value (should be between 0 and 1 for optimal chaotic behavior)

% n: Length of output sequence

% out: Generated chaotic sequence

% Define system parameters

a = 4; % Growth rate parameter (when a=4, the system exhibits maximum chaotic behavior)

b = 0.5; % Constant term (can be adjusted to modify the sequence characteristics)

% Initialize output array with zeros

out = zeros(1,n);

out(1) = x;

% Iterative computation using Logistic map equation

for i = 2:n

out(i) = a * out(i-1) * (1 - out(i-1)) + b;

end

This program utilizes the Logistic map function to generate chaotic random sequences, which can simulate random phenomena found in nature. The algorithm implements the classic chaotic system xₙ₊₁ = a·xₙ(1-xₙ) + b, where parameter tuning affects the sequence's chaotic properties. By adjusting the initial value and constants, different sequences can be generated for various applications in simulation experiments and mathematical modeling. The code demonstrates efficient iterative computation with proper array initialization. We hope this program proves useful for your research and applications in chaos theory and random sequence generation.