programs_13a.m

《Dynamical Systems with Applications using MATLAB》一书是用来介绍离散和连续系统下动态非线性系统理论的经典教材（分形、混沌、非线性系统）。这里的附件包含

% Chapter 13 - Three-Dimensional Autonomous Systems and Chaos.
% Programs_13a - 3-D phase portrait (Lorenz).
% Copyright Birkhauser 2004. Stephen Lynch.

Lorenz=inline('[10*(x(2)-x(1));28*x(1)-x(2)-x(1)*x(3);x(1)*x(2)-(8/3)*x(3)]','t','x');
options = odeset('RelTol',1e-4,'AbsTol',1e-4);
[t,xa]=ode45(Lorenz,[0 100],[15,20,30],options);
plot3(xa(:,1),xa(:,2),xa(:,3))
title('The Lorenz Attractor')

fsize=15;
xlabel('x(t)','Fontsize',fsize);
ylabel('y(t)','Fontsize',fsize);
zlabel('z(t)','FontSize',fsize);

% End of Programs_13a.