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Keywords:

  • Pattern formation;
  • chaos control;
  • delayed feedback;
  • semiconductor nanostructures.

Abstract

Semiconductors driven far from thermodynamic equilibrium by an applied dc voltage exhibit a variety of spatio-temporal electronic instabilities including complex and chaotic scenarios. We study stabilization of chaotic spatio-temporal patterns in spatially extended semiconductor models by time delayed feedback control. Different control schemes, e.g., a diagonal control matrix, or global control, or combinations of both, are compared. Specifically, we use two models of semiconductor nanostructures which are of particular current interest: (i) superlattice, (ii) double-barrier resonant-tunneling diode.