This doctoral thesis is the result of 4 years of work within the Research Group on Nonlinear Dynamics, Chaos and Complex Systems of the Rey Juan Carlos University. Also, part of the research was carried out during a three months stay at the Max Planck Institute for Dynamics and Self-Organization (Göttingen, Germany). All this work is devoted to the study of complex Hamiltonian dynamics. In particular, we study chaotic scattering problems in unperturbed and perturbed Hamiltonian systems. After two introductory chapters preparing the basic ideas, the results are organized in 7 chapters which correspond to different scientific publications.
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