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long_3415

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%.........syms x z k t gamma Delta rho alpha Omega A B C D E
gamma=1;
Delta_2=0,gamma_1=5*gamma,gamma_2=5*gamma,rho=0,C=600,
Omega_1=10*gamma*(1-rho^2)^(1/2);Omega_2=50*gamma*(1-rho^2)^(1/2);
x=-100*gamma:0.1*gamma:100*gamma;
%.........relational expression..........
z1=zeros(1,length(x));
for k=1:length(x)
    k
    Delta_1=0.1*gamma*k
    A=[0,-conj(Omega_1),0,Omega_1,2*gamma_1,0,0,0,0;
       -Omega_1,-Delta_1,-conj(Omega_2),0,Omega_1,0,0,0,0;
       0,-Omega_2,-Delta_1-Delta_2,0,0,Omega_1,0,0,0;
       conj(Omega_1)*i,0,0,Delta_1*i-gamma_1,-conj(Omega_1)*i,0,Omega_2*i,2*rho*(gamma_1*gamma_2)^(1/2),0;
       0,conj(Omega_1),0,-Omega_1,0,-conj(Omega_2),0,Omega_2,0;
       0,0,conj(Omega_1),0,-Omega_2,-Delta_2,0,0,Omega_2;
       0,0,0,conj(Omega_2)*i,0,0,Delta_1*i+Delta_2*i-gamma_2,conj(Omega_1)*i,0;
       0,0,0,0,conj(Omega_2)*i,0,-Omega_1*i,Delta_2*i-gamma_1-gamma_2,-conj(Omega_2)*i;
       1,0,0,0,1,0,0,0,1];
    B=[0;0;0;0;0;0;0;0;1];                          
    t=inv(A)*B;
    D(:,k)=t;
    %........E(:,k)=zeros(1,length(x));
    E(:,k)=Omega_1+C*gamma_1*imag(t)-i*C*gamma_1*real(t);
end
    z1=imag(D(4,);
%.........................................
    z2=zeros(1,length(x));
for k=1:length(x)
    k
    Delta_1=-0.1*gamma*k
    A=[0,-conj(Omega_1),0,Omega_1,2*gamma_1,0,0,0,0;
       -Omega_1,-Delta_1,-conj(Omega_2),0,Omega_1,0,0,0,0;
       0,-Omega_2,-Delta_1-Delta_2,0,0,Omega_1,0,0,0;
       conj(Omega_1)*i,0,0,Delta_1*i-gamma_1,-conj(Omega_1)*i,0,Omega_2*i,2*rho*(gamma_1*gamma_2)^(1/2),0;
       0,conj(Omega_1),0,-Omega_1,0,-conj(Omega_2),0,Omega_2,0;
       0,0,conj(Omega_1),0,-Omega_2,-Delta_2,0,0,Omega_2;
       0,0,0,conj(Omega_2)*i,0,0,Delta_1*i+Delta_2*i-gamma_2,conj(Omega_1)*i,0;
       0,0,0,0,conj(Omega_2)*i,0,-Omega_1*i,Delta_2*i-gamma_1-gamma_2,-conj(Omega_2)*i;
       1,0,0,0,1,0,0,0,1];
    B=[0;0;0;0;0;0;0;0;1];                          
    t=inv(A)*B;
    D(:,k)=t;
    %........E(:,k)=zeros(1,length(x));
    E(:,k)=Omega_1+C*gamma_1*imag(t)-i*C*gamma_1*real(t);
end
    z2=real(D(4,);
    plot(x,z1,x,z2,'LineWidth',1.5);
    xlabel('Delta_1/gamma');
    ylabel('Im(D(4,)');
    axis([-100,100,-1,1]);
    legend('z1','z2');
    grid off
   ÆäÖÐÉÏÃæÍ¼µÄYÖáÖеÄ×Öĸ±íʾÊdzÌÐòµ±ÖÐD(4£¬1)µÄÐ鲿£¬³ÌÐòÖÐrho=0±íʾͼÖеÄP=0.
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shutaham

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2Â¥2013-07-18 12:54:43
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long_3415

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ÒýÓûØÌû:
2Â¥: Originally posted by shutaham at 2013-07-18 12:54:43
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3Â¥2013-07-18 14:52:32
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knightman

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