More than one kind of device of plasma confinement has been constructed in order to study the plasma dynamics and to achieve a controlled fusion reactor. Some important problems remain unsolved. One of them is to understand the transport processes which lead to the loss of the plasma confinement. Another is to know how the magnetic fields that confine the plasma evolve in time. These fields have modes that appear and interact with each other. The dynamics of these interactions is nor yet clear.
In this thesis we describe the magnetic fields using two different mathematical tools. One of them describes the magnetic :fields by a set of Generalized Standard Maps. Another is a three-dimensional magnetohydrodynamics (MHD) code that gives their time evolution. In both cases we considered a "Reversed Field Pinch" (RFP) configuration of plasma confinement.
