Abstract: When driven by a dc and an ac bias voltage in the form of V_dc+V_ac sin（2πf_act）, the miniband superlattice constructs a typical nonlinear dynamic system with the dc bias, ac amplitudes and the ac frequency as the control parameters. We use the time-dependent hydrodynamic balance-equation approach to investigate the nonlinear dynamical characteristics of a periodically-driven N⁺ NN⁺ miniband superlattice system. It is shown that with changing the ac amplitude the solutions of the system become period-doubling or chaotic with a quite complex Poincar’e bifurcation scenario.