1. The problem statement, all variables and given/known data Determine Equilibrium points, limiting cycles, and their stabilities for the following equations r'=r(r-1)(r-3) θ'=1 3. The attempt at a solution So I know one equilibrium point is going to be (0,0) because r=0 is a limiting cycle (I believe), and that is simply a point. I also know that r=1 and r=3 are going to be some part of the solution, but I'm not sure how to use that knowledge to compute the equilibrium points. My problem is the θ'. I know that x=rcosθ and y=rsinθ, but I don't really know what to do with the θ'=1 part of the system.