Using Matlab: Draw the bifurcation diagram for the dynamical system xn+1 = r sin(xn) between −4 ≤ r ≤ 4. Explain what bifurcations you see in the diagram, and specifically where do you see them, e.g. There is a pitchfork bifurcation when r = 12.35, I can tell because... You do NOT need to prove anything just explain in complete sentences. Also pay attention to the areas where there is some symmetry and those that lack symmetry. Try to explain why some places do not have symmetry where other places do.