Intermittency route to chaos and broadband high-frequency generation in semiconductor superlattice coupled to external resonator

Alexander E. Hramov, Vladimir V. Makarov, Vladimir A. Maximenko, Alexey A. Koronovskii, and Alexander G. Balanov
Phys. Rev. E 92, 022911 – Published 19 August 2015

Abstract

We investigate the onset of broadband microwave chaos in the miniband semiconductor superlattice coupled to an external resonator. Our analysis shows that the transition to chaos, which is confirmed by calculation of Lyapunov exponents, is associated with the intermittency scenario. The evolution of the laminar phases and the corresponding Poincare maps with variation of a supercriticality parameter suggest that the observed dynamics can be classified as type I intermittency. We study the spatiotemporal patterns of the charge concentration and discuss how the frequency band of the chaotic current oscillations in semiconductor superlattice depends on the voltage applied.

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  • Received 22 April 2015

DOI:https://doi.org/10.1103/PhysRevE.92.022911

©2015 American Physical Society

Authors & Affiliations

Alexander E. Hramov1,2,*, Vladimir V. Makarov1,2, Vladimir A. Maximenko1,2, Alexey A. Koronovskii1,2, and Alexander G. Balanov1,3,†

  • 1Research and Education Center ‘Nonlinear Dynamics of Complex Systems’, Saratov State Technical University, Saratov 410054, Russia
  • 2Faculty of Nonlinear Processes, Saratov State University, Astrakhanskaja 83, Saratov 410012, Russia
  • 3Department of Physics, Loughborough University, Loughborough LE11 3TU, United Kingdom

  • *hramovae@gmail.com
  • a.balanov@lboro.ac.uk

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Vol. 92, Iss. 2 — August 2015

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