Solve the system y = -y V2 = - y2 + z 2=2 and show that the successive approximations and V as k oo for all x = (y, 32, z) R. Define Ho = (4, v)T and use - this homeomorphism to find H = f'L- for this system. L-HOT ds. Use the homeomorphism H to find the stable and unstable manifolds W (0) = H-(E) and W"(0) = H (E)