consider the second order dynamical system for (q, p) R for which and p are given by Hamilton's equations for the function H=p +9-9. Question 13(a): The system has M hyperbolic and N elliptic fixed points. Which of the following statements is true? OM+N=2 OM-N=2 OM+N = 3 O M - N = 1 OM+N=1 O None of the other options is true Question 13(b): There is a single elliptic fixed point in the region q 0, p > 0. The period T of small oscillations around this elliptic fixed point is approximately OT~T OT~ 2T OT~ 2T OT 22T OT~2T O None of the other options is true Question 13(c): The phase portrait for the system has a separatrix. Which of the following points (q, p) is on the separatrix? O (0, 1) (0, 2) O (1,0) O (2,0 O (1,1) None of the other options is true