Logistic映射的李雅普诺夫指数Lyapunov的matlab实现
Le=zeros(401,2);i=0;for u=0:0.001:4i=i+1;x=0.9;y=0;for k=1:200x=u*x*(1-x);%Logisticy=y+log(abs(1-2*x));endLe(i,1)=u;Le(i,2)=log(u)+y/200;endplot(Le(:,1),Le(:,2));hold on;n=0:0.001:4;plot(n,0,'b.
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Le=zeros(401,2);
i=0;
for u=0:0.001:4
i=i+1;
x=0.9;
y=0;
for k=1:200
x=u*x*(1-x); %Logistic
y=y+log(abs(1-2*x));
end
Le(i,1)=u;
Le(i,2)=log(u)+y/200;
end
plot(Le(:,1),Le(:,2));
hold on;
n=0:0.001:4;
plot(n,0,'b');
%title('(a) Lyapunov exponent curves of the logistic map');
xlabel('\mu');
ylabel('Lyapunov指数图');
axis([1.5 4 -5 1]);grid on
得到图像
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