Transitions in the parameter space of a periodically forced dissipative system

Transitions between periodic, quasiperiodic and chaotic regions in the parameter space of a dissipative integrable system, periodically perturbed by delta-peaks, are numerically investigated in the limit of fast relaxation. Lyapunov exponents, winding numbers, power spectra and isoperiodic diagrams are computed to analyse the different kinds of transitions and their characteristics as the control parameters, the perturbation amplitude and period, are varied.