Please help me solve this problem

Problem III ( 15 points) Consider the following system 33' = 03:3 + in: + y y' = 3:: + y + my. 1. ( 7130mm) Find the value of constant a, b, c so that the system is hamiltonian and write down the corresponding hamiltonian function. 2. (8 points) For the hamiltonian system above, if m(t) is a solution with initial condition 32(0) = 0, m'(0) = 1, is it periodic? State your reason