Note the choices for b and c are stable and unstable

Consider the recursive relation Xt+1 = CXt(Xt - 1)2 where c is a positive real number. (a) Find all non-zero equilibrium points (the smaller x-value on the left). Answer: X = 0 and x = Note: For the choice between stable and unstable you have only one try. (b) If c = 1/2, the equilibrium at x = 0 is stable (c) If c = 2, the equilibrium at x = 0 is stable Check