Odd periodic window and bifurcations on 2D parameter space of low frequency oscillations

  • da Silva S
  • Rubinger R
  • de Oliveira A
 et al. 
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Abstract

Low frequency current oscillations have been usually investigated under the influence of the external applied voltage, temperature and illumination. A parallel applied magnetic field has been used in the present work in order to obtain odd periodic windows and bifurcations inside them in a two dimension parameter space for a semi-insulating GaAs sample grown by molecular beam epitaxy. Two kinds of parameter spaces have been used in order to stabilize the odd periodic windows and the bifurcations, namely, the external applied voltage versus the parallel magnetic field and the illumination versus the parallel magnetic field. We report on a successful observation of stable cycles of periodicity 3, 4, 5, 6, 7 and 8 inside a period-3 window. An example of bifurcation route is presented following the sequence from chaos to 4, 3, 6, 3, 5, 7, 5, and back to chaos in the parameter space of voltage versus magnetic field. For this bifurcation route we will show which branch of the cycle is bifurcating and which are coalescing with the control parameters. © 2009 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Chaos
  • Low frequency oscillations
  • Non-linear dynamics
  • Parameter space
  • Time series analysis

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Authors

  • Rero RubingerUniversidade Federal de Itajuba

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  • S. L. da Silva

  • A. G. de Oliveira

  • G. M. Ribeiro

  • E. R. Viana

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