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

  • da Silva S
  • Rubinger R
  • de Oliveira A
 et al. 
  • 2


    Mendeley users who have this article in their library.
  • 2


    Citations of this article.


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

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Rero RubingerUniversidade Federal de Itajuba

  • S. L. da Silva

  • A. G. de Oliveira

  • G. M. Ribeiro

  • E. R. Viana

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free