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Hidden dynamics of an optically injected laser diode subject to threshold electromagnetic induction: coexistence of multiple stable states

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Abstract

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.

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Data Availability Statement

My manuscript has no associated data or the data will not be deposited.

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Author information

Authors and Affiliations

  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

    T. H. Tchinda & H. B. Fotsin

  2. Department of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O. Box 63, Buea, Cameroon

    Z. Tabekoueng Njitacke

  3. Research Unit of Automation and Applied Computer (URAIA), Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box 134, Bandjoun, Cameroon

    Z. Tabekoueng Njitacke

  4. Department of Research, Development, Innovation and Training, Inchtech’s, Yaoundé, Cameroon

    T. Fozin Fonzin

  5. Department of Electrical and Electronic Engineering, Faculty of Engineering and Technology (FET), University of Buea, P.O. Box 63, Buea, Cameroon

    T. Fozin Fonzin

Authors
  1. T. H. Tchinda
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  2. Z. Tabekoueng Njitacke
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  3. T. Fozin Fonzin
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  4. H. B. Fotsin
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Contributions

THT and ZTN have designed the project. TFF and HBF have realized some numerical simulations. THT has written the project. THT, ZTN, TFF and HBF have read and validated the project.

Corresponding author

Correspondence to T. H. Tchinda.

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Tchinda, T.H., Njitacke, Z.T., Fonzin, T.F. et al. Hidden dynamics of an optically injected laser diode subject to threshold electromagnetic induction: coexistence of multiple stable states. Eur. Phys. J. Spec. Top. 230, 1979–1988 (2021). https://doi.org/10.1140/epjs/s11734-021-00134-9

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  • DOI: https://doi.org/10.1140/epjs/s11734-021-00134-9

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