Slow Invariant Manifold of Laser with Feedback

Year: 2021

Authors: Ginoux JM., Meucci R.

Autors Affiliation: Univ Toulon & Var, Ctr Theoret Phys, CNRS, UMR 7332, CS 60584, F-83041 Toulon 9, France; CNR, Ist Nazl Ott, Largo E Fermi 6, I-50125 Florence, Italy; Univ Firenze, Dept Phys & Astron, I-50125 Florence, Italy.

Abstract: Previous studies have demonstrated, experimentally and theoretically, the existence of slow-fast evolutions, i.e., slow chaotic spiking sequences in the dynamics of a semiconductor laser with AC-coupled optoelectronic feedback. In this work, the so-called Flow Curvature Method was used, which provides the slow invariant manifold analytical equation of such a laser model and also highlights its symmetries if any exist. This equation and its graphical representation in the phase space enable, on the one hand, discriminating the slow evolution of the trajectory curves from the fast one and, on the other hand, improving our understanding of this slow-fast regime.

Journal/Review: Symmetry-Basel

Volume: 13 (10)      Pages from: 1898-1  to: 1898-9

KeyWords: slow-fast dynamical systems; singularly perturbed systems; Flow Curvature Method
DOI: 10.3390/sym13101898

Citations: 1
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