SEMICONDUCTOR PHYSICS

Time-delayed feedback control of chaos in a GaAs/AlGaAs heterostructure

Yang Gui and Zhao Xueting

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Abstract: 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.

Key words: chaos

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    Received: 18 August 2015 Revised: 02 December 2009 Online: Published: 01 May 2010

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      Yang Gui, Zhao Xueting. Time-delayed feedback control of chaos in a GaAs/AlGaAs heterostructure[J]. Journal of Semiconductors, 2010, 31(5): 052003. doi: 10.1088/1674-4926/31/5/052003 Yang G, Zhao X T. Time-delayed feedback control of chaos in a GaAs/AlGaAs heterostructure[J]. J. Semicond., 2010, 31(5): 052003. doi: 10.1088/1674-4926/31/5/052003.Export: BibTex EndNote
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      Yang Gui, Zhao Xueting. Time-delayed feedback control of chaos in a GaAs/AlGaAs heterostructure[J]. Journal of Semiconductors, 2010, 31(5): 052003. doi: 10.1088/1674-4926/31/5/052003

      Yang G, Zhao X T. Time-delayed feedback control of chaos in a GaAs/AlGaAs heterostructure[J]. J. Semicond., 2010, 31(5): 052003. doi: 10.1088/1674-4926/31/5/052003.
      Export: BibTex EndNote

      Time-delayed feedback control of chaos in a GaAs/AlGaAs heterostructure

      doi: 10.1088/1674-4926/31/5/052003
      • Received Date: 2015-08-18
      • Accepted Date: 2009-06-21
      • Revised Date: 2009-12-02
      • Published Date: 2010-05-06

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