matlab code for baker map 3d

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matlab code for baker map 3d

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以下是Baker映射的3D matlab代码示例：

function [x,y,z] = bakerMap3D(x0,y0,z0,a,b,c)

% 定义迭代次数

N = 10000;

% 初始化x，y，z

x = zeros(N+1,1);

y = zeros(N+1,1);

z = zeros(N+1,1);

% 设定初始值

x(1) = x0;

y(1) = y0;

z(1) = z0;

% 定义Baker映射的公式

for i=1:N

if x(i)>=0 && x(i)<=a && y(i)>=0 && y(i)<=b && z(i)>=0 && z(i)<=c

x(i+1) = 2*x(i)/a;

y(i+1) = 2*y(i)/b;

z(i+1) = 2*z(i)/c;

elseif x(i)>=a && x(i)<=2*a && y(i)>=0 && y(i)<=b && z(i)>=0 && z(i)<=c

x(i+1) = 2*(x(i)-a)/a + 1;

y(i+1) = 2*y(i)/b;

z(i+1) = 2*z(i)/c;

elseif x(i)>=0 && x(i)<=a && y(i)>=b && y(i)<=2*b && z(i)>=0 && z(i)<=c

x(i+1) = 2*x(i)/a;

y(i+1) = 2*(y(i)-b)/b + 1;

z(i+1) = 2*z(i)/c;

elseif x(i)>=a && x(i)<=2*a && y(i)>=b && y(i)<=2*b && z(i)>=0 && z(i)<=c

x(i+1) = 2*(x(i)-a)/a + 1;

y(i+1) = 2*(y(i)-b)/b + 1;

z(i+1) = 2*z(i)/c;

elseif x(i)>=0 && x(i)<=a && y(i)>=0 && y(i)<=b && z(i)>=c && z(i)<=2*c

x(i+1) = 2*x(i)/a;

y(i+1) = 2*y(i)/b;

z(i+1) = 2*(z(i)-c)/c + 1;

elseif x(i)>=a && x(i)<=2*a && y(i)>=0 && y(i)<=b && z(i)>=c && z(i)<=2*c

x(i+1) = 2*(x(i)-a)/a + 1;

y(i+1) = 2*y(i)/b;

z(i+1) = 2*(z(i)-c)/c + 1;

elseif x(i)>=0 && x(i)<=a && y(i)>=b && y(i)<=2*b && z(i)>=c && z(i)<=2*c

x(i+1) = 2*x(i)/a;

y(i+1) = 2*(y(i)-b)/b + 1;

z(i+1) = 2*(z(i)-c)/c + 1;

elseif x(i)>=a && x(i)<=2*a && y(i)>=b && y(i)<=2*b && z(i)>=c && z(i)<=2*c

x(i+1) = 2*(x(i)-a)/a + 1;

y(i+1) = 2*(y(i)-b)/b + 1;

z(i+1) = 2*(z(i)-c)/c + 1;

end

end

% 绘制3D图像

plot3(x,y,z)

% 添加坐标轴标签

xlabel('x')

ylabel('y')

zlabel('z')

% 添加图像标题

title('Baker映射的3D图像')

% 设置图像的可视化属性

grid on

axis equal

view(30,30)

% 结束

end

该示例提供了一个Baker映射的3D matlab代码。您可以使用此代码来模拟Baker映射并绘制3D图像。Baker映射是一种混沌映射，可用于加密和解密信息，以及在数据压缩和图像处理中使用。如果您对混沌映射感兴趣，可以使用此代码进一步探究Baker映射的特性和应用。