https://doi.org/10.1140/epjs/s11734-021-00134-9
Regular Article
Hidden dynamics of an optically injected laser diode subject to threshold electromagnetic induction: coexistence of multiple stable states
1
Research Unit of Condensed Matter, Electronics and Signal Processing (UR-MACETS) Department of Physics, Faculty of Sciences, University of Dschang, P.O. Box 67, Dschang, Cameroon
2
Department of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O. Box 63, Buea, Cameroon
3
Research Unit of Automation and Applied Computer (URAIA), Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box 134, Bandjoun, Cameroon
4
Department of Research, Development, Innovation and Training, Inchtech’s, Yaoundé, Cameroon
5
Department of Electrical and Electronic Engineering, Faculty of Engineering and Technology (FET), University of Buea, P.O. Box 63, Buea, Cameroon
Received:
26
June
2020
Accepted:
28
April
2021
Published online:
29
May
2021
In this contribution, we perform a detailed study of the effect of electromagnetic induction on the dynamical behavior of laser diode modeled by novel single-mode four-dimensional rate equations. Memristor is used to describe electromagnetic induction effect. As result, the obtained model is equilibrium free thus displays hidden dynamics. Consequently, Shilnikov method is not suitable to explain the chaos mechanism in the introduced laser model. Furthermore, there is no heteroclinic nor homoclinic orbit. Based on numerical simulations, we found that the laser model displays hidden dynamics including period doubling bifurcation, multistability (with three different stable states) and crisis phenomena when the electromagnetic strength is varied. The circuit emulator of laser model investigated in this paper has been designed in the Pspice environment to further support numerical results.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2021
