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Stability change in a dynamical laser model

https://doi.org/10.25587/2411-9326-2025-1-115-116

Abstract

The paper is devoted to the study of a laser diode model with optoelectronic feedback, described by a singularly perturbed system. The change of stability of the invariant manifold of the system, which can proceed according to different scenarios, is established.

About the Author

O. S. Kipkaeva
Samara National Research University
Russian Federation

Olga S. Kipkaeva

34 Moskovskoye highway, Samara 443086



References

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2. Benoit E., Callot J.L., Diener F. Diener M. Chasse au canard // Collect. Math. 1981. V. 31–32, N 1–3. P. 37–119.

3. Кипкаева О. С. Об одном сценарии смены устойчивости инвариантных многообразий сингулярно возмущенных систем // Вестн. Самарск. ун-та. Естественнонаучная серия. 2024. Т. 30, № 2. С. 20–29.

4. Marino F. et al.Arecchi F. T. Mixed-mode oscillations via canard explosions in light-emitting diodes with optoelectronic feedback // Physical Review E. 2011. V. 84, N 4. 047201.

5.


Review

For citations:


Kipkaeva O.S. Stability change in a dynamical laser model. Mathematical notes of NEFU. 2025;32(1):115-116. (In Russ.) https://doi.org/10.25587/2411-9326-2025-1-115-116

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ISSN 2411-9326 (Print)
ISSN 2587-876X (Online)