Bifurcation Analysis of the Yamada Model for a Pulsing Semiconductor Laser with Saturable Absorber and Delayed Optical Feedback

DOI10.1137/16M1099236zbMath1366.34113arXiv1610.06794OpenAlexW2604820093MaRDI QIDQ5266351

Neil G. R. Broderick, Bernd Krauskopf, Soizic Terrien

Publication date: 2 June 2017

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.06794

zbMATH Keywords

bifurcation analysisdelay-differential equationsmultistabilityoptical feedbacksemiconductor lasers with saturable absorber

Mathematics Subject Classification ID

Lasers, masers, optical bistability, nonlinear optics (78A60) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Uses Software

• DDE-BIFTOOL
• PDDE-CONT
• Knut
• dde23

Cites Work

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• Global invariant manifolds in the transition to preturbulence in the Lorenz system
• Numerical continuation methods for dynamical systems. Path following and boundary value problems.
• Nonlinear Laser Dynamics
• Delayed Feedback Versus Seasonal Forcing: Resonance Phenomena in an El Nin͂o Southern Oscillation Model
• A SURVEY OF METHODS FOR COMPUTING (UN)STABLE MANIFOLDS OF VECTOR FIELDS
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• Solving DDEs in Matlab

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