function xd=linear731(t,x) xd(1)=(cos(t)*sqrt(x(1)^2+x(2)^2)*(1-x(1)^2-x(2)^2))+(cos(t)*1*sqrt(x(1)^2+x(2)^2)*cos(t))-(sqrt(x(1)^2+x(2)^2)*sin(t)); xd(2)=(sin(t)*sqrt(x(1)^2+x(2)^2)*(1-x(1)^2-x(2)^2))+(sin(t)*1*sqrt(x(1)^2+x(2)^2)*cos(t))-(sqrt(x(1)^2+x(2)^2)*cos(t)); //x(dot); x(2) means y. //y(dot); x(1) means x.; endfunction bound=[-4,-4,4,4]; //Bounds of x-axis and y-axis as [xmin ymin xmax ymax], change them according to your needs. nrect=12; //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=1:12 x0=[x(i);y(i)]; t0=0; t=0:0.01:3000; xout=ode(x0,t0,t,linear731); plot2d(xout(1,:),xout(2,:)); end xtitle('Phase Portrait','x-axis ( x )','y-axis ( y )')