Linear Systems Lab

In this lab you will discuss the phase portraits and bifurcations for the linear system of differential equations

dx/dt = -0.5 x + A y

dy/dt = x - 0.5 y

where A is a parameter and -0.4 < A < 0.4. If you click on the following icon, you will see a QuickTime animation of the phase planes for this system as A changes.