Stability of equilibrium state in a laser with rapidly oscillating delay feedback

DOI10.1016/J.PHYSD.2014.10.002zbMath1335.37058OpenAlexW2046615843MaRDI QIDQ282220

F. Blanchet-Sadri, M. Dambrine

Publication date: 12 May 2016

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2014.10.002

zbMATH Keywords

laser dynamicsbifurcation analysisoptical feedback

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Lasers, masers, optical bistability, nonlinear optics (78A60) Stability theory for smooth dynamical systems (37C75)

Related Items (13)

Reducing dimensionality to model 2D rotating and standing waves in a delayed nonlinear optical system with thin annulus aperture ⋮ Dynamics of delay systems with rapidly oscillating coefficients ⋮ Quasi-periodic and chaotic relaxation oscillations in a laser model with variable delayed optoelectronic feedback ⋮ Aspects of laser Lorenz dynamics ⋮ Analysis of the Dynamics of Piecewise Linear Memristors ⋮ Influence of the second delay on local dynamics ⋮ Dynamics of a delay logistic equation with diffusion and coefficients rapidly oscillating in space variable ⋮ Asymptotics of an Equation with Large State-Dependent Delay ⋮ Delay-Coupled Complex Systems ⋮ Application of the averaging principle to the study of the dynamics of the delay logistic equation ⋮ Homogenization over the spatial variable in nonlinear parabolic systems ⋮ Resonant Doppler effect in systems with variable delay ⋮ Statistical basin of attraction in time-delayed cutting dynamics: modelling and computation

Cites Work

• Nonlinear dynamics in a laser with a negative delayed feedback
• Vibrational resonance
• Vibrational control of nonlinear time lag systems with bounded delay: averaging theory, stabilizability, and transient behavior
• REGULAR AND CHAOTIC PULSATIONS IN LASER DIODE WITH DELAYED FEEDBACK
• Using delays and time-varying gains to improve the static output feedback stabilizability of linear systems: a comparison
• Stabilization of time-delay systems with a Controlled time-varying delay and applications

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