Period-doubling transitions to chaos, periodic windows, strange attractors, and intermittencies are observed in direct numerical simulations of convection in a closed cavity with differentially heated vertical walls. The cavity contains a Newtonian-Boussinesq fluid and is subject to horizontal oscillatory displacements with a frequency Ω. The transitions occur through a sequence of bifurcations that exhibit the features of a Feigenbaum-type scenario. The first transition from a single-frequency response to a two-frequency response occurs through a parametric excitation of the subharmonic mode [Formula Presented] by the driving frequency Ω. Bifurcation diagrams also exhibit periodic windows and reveal the self-similar structure of the “period-doubling tree.” Intermittent flows show characteristics corresponding to a Pomeau-Manneville type-I intermittency. © 1997 The American Physical Society.