On heteroclinic separators of magnetic fields in electrically conducting   fluids
  In this paper we partly solve the problem of existence of separators of a magnetic field in plasma. We single out in plasma a 3-body with a boundary in which the movement of plasma is of special kind which we call an (a-d)-motion. We prove that if the body is the 3-annulus or the "fat" orientable surface with two holes the magnetic field necessarily have a heteroclinic separator. The statement of the problem and the suggested method for its solution lead to some theoretical problems from Dynamical Systems Theory which are of interest of their own. 
V. Grines, T. Medvedev, O. Pochinka, E. Zhuzhoma
physics.plasm-ph math.DS