Question 3. Consider the 1-D system Xt+1 = gx (xt) where g(x) = - tanh(4x), 1 > 0. (a) Show that 91 is decreasing (b) Show that ghas a unique steady state. Investigate its stability. (c) Which bifurcation occurs when I increases? (d) Determine limt+oo Xt. How does it depend on and on the initial state xo? Question 3. Consider the 1-D system Xt+1 = gx (xt) where g(x) = - tanh(4x), 1 > 0. (a) Show that 91 is decreasing (b) Show that ghas a unique steady state. Investigate its stability. (c) Which bifurcation occurs when I increases? (d) Determine limt+oo Xt. How does it depend on and on the initial state xo