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

2Citations
Citations of this article
2Readers
Mendeley users who have this article in their library.
Get full text

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.

Cite

CITATION STYLE

APA

da Silva, S. L., Rubinger, R. M., de Oliveira, A. G., Ribeiro, G. M., & Viana, E. R. (2009). Odd periodic window and bifurcations on 2D parameter space of low frequency oscillations. Physica D: Nonlinear Phenomena, 238(18), 1951–1956. https://doi.org/10.1016/j.physd.2009.07.002

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free