Obtain a Poincar map for the system x = x + y x x2

Obtain a Poincaré map for the system

˙ x = μx + y − x



x2 + y2, ˙ y = −x + μy − y



x2 + y2 on the Poincaré section  = {(x, y) ∈ ℜ2 : 0 ≤ x < ∞, y = 0}.