資源簡(jiǎn)介
用MATLAB實(shí)現(xiàn)的幾個(gè)典型混沌系統(tǒng)吸引子,適用于初學(xué)者。

代碼片段和文件信息
a=35;
b=3;
c=28;
x(1)=0;
y(1)=1.001;
z(1)=0;
h=0.0001;
for?i=1:100000
????K1=a*(y(i)-x(i));
????L1=(c-a)*x(i)-x(i)*z(i)+c*y(i);
????M1=x(i)*y(i)-b*z(i);
????K2=a*((y(i)+h/2*L1)-(x(i)+h/2*K1));
????L2=(c-a)*(x(i)+h/2*K1)-(x(i)+h/2*K1)*(z(i)+h/2*M1)+c*(y(i)+h/2*L1);
????M2=(x(i)+h/2*K1)*(y(i)+h/2*L1)-b*(z(i)+h/2*M1);
????K3=a*((y(i)+h/2*L2)-(x(i)+h/2*K2));
????L3=(c-a)*(x(i)+h/2*K2)-(x(i)+h/2*K2)*(z(i)+h/2*M2)+c*(y(i)+h/2*L2);
????M3=(x(i)+h/2*K2)*(y(i)+h/2*L2)-b*(z(i)+h/2*M2);
????K4=a*((y(i)+h*L3)-(x(i)+h*K3));
????L4=(c-a)*(x(i)+h*K3)-(x(i)+h*K3)*(z(i)+h*M3)+c*(y(i)+h*L3);
????M4=(x(i)+h*K3)*(y(i)+h*L3)-b*(z(i)+h*M3);
????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
%for?j=1:250000
%???x(j)=x(10000+j);
%???y(j)=y(10000+j);
%???z(j)=z(10000+j);
%end
figure(1);
plot3(xyz);
title(‘Chen等式的三維相空間吸引子‘);
xlabel(‘X(t)‘);
ylabel(‘Y(t)‘);
zlabel(‘Z(t)‘);
grid;
figure(2);
plot(x);
title(‘Chen等式的X相序列‘);
xlabel(‘t‘);
Ylabel(‘X(t)‘);
grid;
x2=x‘;
?屬性????????????大小?????日期????時(shí)間???名稱
-----------?---------??----------?-----??----
?????文件????????177??2008-04-14?21:56??logistic.m
?????文件???????1427??2008-04-15?23:06??lorenz.m
?????文件????????949??2008-04-15?23:18??rossler.m
?????文件???????1087??2008-04-16?12:32??chen.m
-----------?---------??----------?-----??----
?????????????????3640????????????????????4
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