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前辈好!好久不见,暑期过的可好?
不知道前辈用什摸方法画的,编写FORTRAN或者MATLAB程序吗?那样得反解出显式表达式,但是当幅频关系为高次时,是很困难甚至是不可能的.我画出的不光滑,是用MAPLE和MATLAB(直接用PLOT语句)都这样,我也正为这个郁闷.付上我的MATLAB图,请前辈指点.下面是MAPLE语句:
restart;omega[0]:=1;with(plots);
> mu[1]:=0.3;
> mu[2]:=0.6;
> G[v1]:=0.3;
> G[v2]:=1;
> G[v3]:=2;
> G[v4]:=10;
> Gamma[11]:=5*G[v1]/(8*omega[0]);
> Gamma[12]:=5*G[v2]/(8*omega[0]);
> Gamma[13]:=5*G[v3]/(8*omega[0]);
> Gamma[14]:=5*G[v4]/(8*omega[0]);
> alpha[1]:=4;
> alpha[2]:=0.5;
> alpha[3]:=0.2;
> beta[1]:=1;
> Gamma[2]:=(3*alpha[1]-3*alpha[2]+alpha[3])/(8*omega[0]);
> Q[1]:=beta[1]/(2*omega[0]);
> #Q[2]:=beta[2]/(4*omega[0]);
omega[0] := 1
Warning, the name changecoords has been redefined
[animate, animate3d, animatecurve, arrow, changecoords, complexplot,
complexplot3d, conformal, conformal3d, contourplot,
contourplot3d, coordplot, coordplot3d, cylinderplot,
densityplot, display, display3d, fieldplot, fieldplot3d,
gradplot, gradplot3d, implicitplot, implicitplot3d, inequal,
listcontplot, listcontplot3d, listdensityplot, listplot,
listplot3d, loglogplot, logplot, matrixplot, odeplot, pareto,
pointplot, pointplot3d, polarplot, polygonplot, polygonplot3d,
polyhedra_supported, polyhedraplot, replot, rootlocus,
semilogplot, setoptions, setoptions3d, spacecurve,
sparsematrixplot, sphereplot, surfdata, textplot, textplot3d,
tubeplot]
mu[1] := .3
mu[2] := .6
G[v1] := .3
G[v2] := 1
G[v3] := 2
G[v4] := 10
Gamma[11] := .1875000000
Gamma[12] := 5/8
Gamma[13] := 5/4
Gamma[14] := 25/4
alpha[1] := 4
alpha[2] := .5
alpha[3] := .2
beta[1] := 1
Gamma[2] := 1.337500000
Q[1] := 1/2
> Y[1]:=(mu[1]*a+mu[2]*(a^2)-Gamma[11]*a^5)^2+(sigma[1]*a-Gamma[2]*a^3)^2-Q[1]^2;
2 5 2
Y[1] := (.3 a + .6 a - .1875000000 a )
3 2
+ (sigma[1] a - 1.337500000 a ) - 1/4
> Y[2]:=(mu[1]*a+mu[2]*(a^2)-Gamma[12]*a^5)^2+(sigma[1]*a-Gamma[2]*a^3)^2-Q[1]^2;
> Y[3]:=(mu[1]*a+mu[2]*(a^2)-Gamma[13]*a^5)^2+(sigma[1]*a-Gamma[2]*a^3)^2-Q[1]^2;
> Y[4]:=(mu[1]*a+mu[2]*(a^2)-Gamma[14]*a^5)^2+(sigma[1]*a-Gamma[2]*a^3)^2-Q[1]^2;
> implicitplot((mu[1]*a+mu[2]*(a^2)-Gamma[11]*a^5)^2+(sigma[1]*a-Gamma[2]*a^3)^2-Q[1]^2=0,sigma[1]=0..10,a=0..5);
2 5 2 3 2
Y[2] := (.3 a + .6 a - 5/8 a ) + (sigma[1] a - 1.337500000 a )
- 1/4
2 5 2 3 2
Y[3] := (.3 a + .6 a - 5/4 a ) + (sigma[1] a - 1.337500000 a )
- 1/4
2 5 2 3 2
Y[4] := (.3 a + .6 a - 25/4 a ) + (sigma[1] a - 1.337500000 a )
- 1/4
implicitplot((mu[1]*a+mu[2]*(a^2)-Gamma[12]*a^5)^2+(sigma[1]*a-Gamma[2]*a^3)^2-Q[1]^2=0,sigma[1]=0..10,a=0..5);
implicitplot((mu[1]*a+mu[2]*(a^2)-Gamma[13]*a^5)^2+(sigma[1]*a-Gamma[2]*a^3)^2-Q[1]^2=0,sigma[1]=0..10,a=0..5);
implicitplot((mu[1]*a+mu[2]*(a^2)-Gamma[14]*a^5)^2+(sigma[1]*a-Gamma[2]*a^3)^2-Q[1]^2=0,sigma[1]=0..10,a=0..5);
附加三幅图.谢谢!MATLAB的PLOT语句更简单,和MAPLE差不多.错在那里?请指点.谢谢! |
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