This report synthesizes the works performed on the theme of end effects and vortex bursting observed in experimental facilities such as catapult wind tunnels or towing tanks, whose aim it is to characterize the wake vortices of civil aircraft. It includes a bibliographical synthesis, the post-processing of experimental campaigns performed in the B20 wind tunnel in ONERA Lille, the presentation of the Direct Numerical Simulation FLUDILES code, the modelling of the disturbances of a Lamb-Oseen vortex and the confirmation of DNS calculations upon the linear stability theory, the numerical and theoretical study of the nonlinear dynamics of a Lamb-Oseen vortex by means of DNS.