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A theoretical model has been developed to study nonlinear behaviors in a GaAs/AlGaAs heterostructure. We show that the system can exhibit chaotic oscillations under transverse magnetic fields and an electric field.The time-delayed feedback method was applied to stabilize the unstable periodic orbits(UPOs) embedded in the chaotic attractor.A bifurcation specified by a successive decrease in the number of UPOs with delayed time and feedback strength was revealed,indicating the stabilization of UPOs under feedback control.Noticeably,the introduction of a feedback perturbation will sometimes induce chaotic states that do not exist in the unperturbed system.
A theoretical model has been developed to study nonlinear behaviors in a GaAs / AlGaAs heterostructure. We show that the system can exhibit chaotic oscillations under transverse magnetic fields and an electric field. The time-delayed feedback method was applied to stabilize the unstable periodic orbits ( UPOs) embedded in the chaotic attractor. A bifurcation specified by a successive decrease in the number of UPOs with delayed time and feedback strength was revealed, indicating the stabilization of UPOs under feedback control. Notably, the introduction of a feedback perturbation will sometimes induce chaotic states that do not exist in the unperturbed system.