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Regular version of the site

Article

On heteroclinic separators of magnetic fields in electrically conducting fluids

Physica D: Nonlinear Phenomena. 2015. Vol. 294. P. 1-5.
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 then the magnetic field necessarily has 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.