Matlab中混沌序列的仿真演示程序lorenzrosslerlogisticchen-chaos.rar

p=10; r=28; b=8/3; x(1)=10; y(1)=1; z(1)=0; h=0.01; for i=1:1:10000 K1=p*(y(i)-x(i)); L1=r*x(i)-y(i)-x(i)*z(i); M1=-b*z(i)+x(i)*y(i); K2=p*((y(i)+h/2*L1)-(x(i)+h/2*K1)); L2=r*(x(i)+h/2*K1)-(y(i)+h/2*L1)-(x(i)+h/2*K1)*(z(i)+h/2*M1); M2=-b*(z(i)+h/2*M1)+(x(i)+h/2*K1)*(y(i)+h/2*L1); K3=p*((y(i)+h/2*L2)-(x(i)+h/2*K1)); L3=r*(x(i)+h/2*K1)-(y(i)+h/2*L2)-(x(i)+h/2*K1)*(z(i)+h/2*M2); M3=-b*(z(i)+h/2*M1)+(x(i)+h/2*K1)*(y(i)+h/2*L2); K4=p*((y(i)+h*L3)-(x(i)+h*K3)); L4=r*(x(i)+h*K3)-(y(i)+h*L3)-(x(i)+h*K3)*(z(i)+h*M3); M4=-b*(z(i)+h*M3)+(x(i)+h*K3)*(y(i)+h*L3); x(i+1)=x(i)+h/6*(K1+2*K2+2*K3+K4); y(i+1)=y(i)+h/6*(L1+2*L2+2*L3+L4); z(i+1)=z(i)+h/6*(M1+2*M2+2*M3+M4); end figure(1); plot3(x,y,z); xlabel('x(t)'),ylabel('y(t)'),zlabel('z(t)'); title('Lorenz吸引子图'); figure(2); plot(x); xlabel('t'),ylabel('x(t)') title('Lorenz X相时间序列'); figure(3) plot(y); xlabel('t'),ylabel('y(t)') title('Lorenz Y相时间序列'); figure(4) plot(x); xlabel('t'),ylabel('z(t)') title('Lorenz Z相时间序列'); N=length(x); m=3; tau=1; P=N-(m-1)*tau; for ii=1:m for jj=1:P data(jj,ii)=x(jj+(ii-1)*tau); end end y1=data(:,1); y2=data(:,2); y3=data(:,3); figure(5); plot3(y1,y2,y3); legend('tau=10'); xlabel('x(t+tau)'),ylabel('x(t+tau)'),zlabel('x(t+2*tau)'); title('Lorenz X相三维重构吸引子图');