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clear;
clc;
close;
set(gca(),"auto_clear","off") //hold on
circle([0 0],4,50) //Circle is drawn with (0,0)as center, radius=4.
circle([0,0],2,50)
a=get("current_axes"); //get the handle of the newly created axes
a.data_bounds=[-5,-5;5,5];
for x = -4:2:4
for v = -4:2:4
if(x==0) & (v==0)
plot2d(x,v,style=-4) //if x=0 and v=0 then x(dot)and v(d ot) are also zero, thus Fixed point.
end
if(x==0) & (v>0)
plot2d(x,v,style=-12)
end
if(x==0) & (v<0)
plot2d(x,v,style=-13)
end
if(v==0) & (x>0)
plot2d(x,v,style=-7)
end
if(v==0) & (x<0)
plot2d(x,v,style=-6)
end
end
end
a=get("current_axes"); //get the handle of the newly created axes
a.data_bounds=[-5,-5;5,5];
xtitle("Vector Field","X - Axis ( X )","Y - Axis ( V )")
set(gca(),"grid",[2,5]) //Grid on
figure
function xd=linear511(t,x)
xd(1)=x(2); //x(dot); x(2) means v.
xd(2)=-50*x(1); //v(dot); x(1) means x.; Taking w^2=50;
endfunction
bound=[-4,-4,4,4]; //Bounds of x-axis and y-axis as [xmin ymin xma x ymax], change them according to your needs.
nrect=15; //increase it to get more number of curves, i.e . more information will be available.
set(gca(),"auto_clear","off") //hold on
x=linspace(bound(1),bound(3),nrect);
y=linspace(bound(2),bound(4),nrect);
x0=[];
for i=1:15
x0=[x(i);y(i)];
t0=0;
t=0:0.01:3000;
xout=ode(x0,t0,t,linear511);
plot2d(xout(1,:),xout(2,:));
end
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