Agradeço aos meus pais, Giacomo e Laura, e meus irmãos, Fábio e Felipe, pelo total apoio recebido. Ao meu orientador, Prof. Dr. Iberê Luiz Caldas, pelo imprescindível papel nesta etapa acadêmica, transmitindo seus conhecimentos, não apenas científicos, que foram de grande valia em minha formação pessoal e profissional. A todos os colegas do grupo Controle de Oscilações do IFUSP, que sempre me ajudaram em nossas inúmeras discussões.
Nowadays, divertors are used in the main tokamaks to control the magnetic field and to improve the plasma confinement. In this article, we present analytical symplectic maps describing Poincaré maps of the magnetic field lines in confined plasmas with a single null poloidal divertor. Initially, we present a divertor map and the tokamap for a diverted configuration. We also introduce the Ullmann map for a diverted plasma, whose control parameters are determined from tokamak experiments. Finally, an explicit, area-preserving and integrable magnetic field line map for a single-null divertor tokamak is obtained using a trajectory integration method to represent toroidal equilibrium magnetic surfaces. In this method, we also give examples of onset of chaotic field lines at the plasma edge due to resonant perturbations.
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