Structurally stable singular actions of R2 having a first integral

Let N denote a closed connected orientable real analytic surface and A(omega)(R(2), N) the set of real analytic actions of R(2) on N. Consider in A(omega)(R(2), N) the C((1,1))-topology, that is, the topology induced by the C(1)-distance between infinitesimal generators. For each N we define a subset b subset of A(omega)(R(2), N) of singular actions, that is, actions such that every orbit has dimension less than 2, and each action having a non-constant first integral. Next, we prove that every phi is an element of l is C((1,1)) structurally stable.