logistics混沌映射仿真 matlab代码

以下是一个简单的 MATLAB 代码示例，用于模拟物流系统中的混沌映射。该代码使用了 Lorenz 方程和 Runge-Kutta 数值积分方法。

%% 参数设置
N = 10000; % 迭代次数
h = 0.01; % 步长
x0 = 0.1;
y0 = 0.1;
z0 = 0.1;
a = 10;
b = 28;
c = 8/3;
m = 1;

%% Runge-Kutta 数值积分
x = zeros(N, 1);
y = zeros(N, 1);
z = zeros(N, 1);
x(1) = x0;
y(1) = y0;
z(1) = z0;

for i=1:N-1
    k1 = h * (-a*x(i) + a*y(i));
    l1 = h * (b*x(i) - y(i) - x(i)*z(i));
    m1 = h * (-c*z(i) + x(i)*y(i) + m);
    
    k2 = h * (-a*(x(i)+k1/2) + a*(y(i)+l1/2));
    l2 = h * (b*(x(i)+k1/2) - (y(i)+l1/2) - (x(i)+k1/2)*(z(i)+m1/2));
    m2 = h * (-c*(z(i)+m1/2) + (x(i)+k1/2)*(y(i)+l1/2) + m);
    
    k3 = h * (-a*(x(i)+k2/2) + a*(y(i)+l2/2));
    l3 = h * (b*(x(i)+k2/2) - (y(i)+l2/2) - (x(i)+k2/2)*(z(i)+m2/2));
    m3 = h * (-c*(z(i)+m2/2) + (x(i)+k2/2)*(y(i)+l2/2) + m);
    
    k4 = h * (-a*(x(i)+k3) + a*(y(i)+l3));
    l4 = h * (b*(x(i)+k3) - (y(i)+l3) - (x(i)+k3)*(z(i)+m3));
    m4 = h * (-c*(z(i)+m3) + (x(i)+k3)*(y(i)+l3) + m);
    
    x(i+1) = x(i) + (k1 + 2*k2 + 2*k3 + k4)/6;
    y(i+1) = y(i) + (l1 + 2*l2 + 2*l3 + l4)/6;
    z(i+1) = z(i) + (m1 + 2*m2 + 2*m3 + m4)/6;
end

%% 数据处理
x = mod(x, 1); % 取模
y = mod(y, 1);
z = mod(z, 1);

x = round(x * 10000) / 10000; % 四舍五入
y = round(y * 10000) / 10000;
z = round(z * 10000) / 10000;

%% 绘图
scatter3(x, y, z, 1, 'filled');
xlabel('x'); ylabel('y'); zlabel('z');

请注意，此代码仅供参考。实际应用中，您需要根据具体的物流系统和混沌映射方程进行相应的修改。