MATLAB: Adding trajectories to vector fields of a linear system

dynamical systemsphase potraitsquiverstreamlinetrajectories

I used the quiver function to plot the vector fields of a simple uncoupled linear system,
    [x1, x2] = meshgrid(-.5:0.05:0.5, -.5:.05:.5);
    x1dot = - x1; 
    x2dot = 2*x2;
    quiver(x1,x2,x1dot,x2dot)
Got this figure
Tried to add streamline function to obtain trajectories to no effect,
    [x1, x2] = meshgrid(-.5:0.05:0.5, -.5:.05:.5);
    x1dot = - x1; 
    x2dot = 2*x2;
    quiver(x1,x2,x1dot,x2dot)
    hold on
    startx = -0.4:0.05:0.5;
    starty = ones(size(startx));
    streamline(x1,x2,x1dot,x2dot,startx,starty)
Any suggestions would be helpful!

Best Answer

[x1, x2] = meshgrid(-.5:0.05:0.5, -.5:.05:.5);
x1dot = - x1; 
x2dot = 2*x2;
quiver(x1,x2,x1dot,x2dot)
hold on
starty = -0.5:0.05:0.5;
startx = ones(size(starty))*-0.5; %specify the starting x values- LHS
streamline(x1,x2,x1dot,x2dot, startx,starty)
startx_2 = ones(size(starty))*0.5; %specify the starting x values -RHS
streamline(x1,x2,x1dot,x2dot, startx_2,starty);
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