Paper Info
Title
A Two-Parameter Study of the Locking Region of a Semiconductor Laser Subject to Phase-Conjugate Feedback
Abstract
We present a detailed bifurcation analysis of a single-mode semiconductor laser subject to phase-conjugate feedback, a system described by a delay differential equation. Codimension-one bifurcation curves of equilibria and periodic orbits and curves of certain connecting orbits are presented near the laser's locking region in the two-dimensional parameter plane of feedback strength and pump current. We identify several codimension-two bifurcations, including a double-Hopf point, Belyakov points, and a T-point bifurcation, and we show how they organize the dynamics. This study is the first example of a two-parameter bifurcation study, including bifurcations of periodic and connecting orbits, of a delay system. It was made possible by new numerical continuation tools, implemented in the package DDE-BIFTOOL, and showcases their usefulness for the study of delay systems arising in applications.
Year
DOI
Venue
2003
10.1137/S1111111102416575
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
Keywords
Field
DocType
semiconductor lasers,phase-conjugate feedback,delay differential equations,two-parameter continuation,heteroclinic orbits,T-point bifurcation
Bifurcation diagram,Mathematical analysis,Control theory,Bifurcation theory,Transcritical bifurcation,Delay differential equation,Periodic graph (geometry),Numerical continuation,Saddle-node bifurcation,Mathematics,Bifurcation
Journal
Volume
Issue
ISSN
2
2
1536-0040
Citations 
PageRank 
References 
4
1.39
0
Authors
3
Name
Order
Citations
PageRank
Kirk Green152.34
Bernd Krauskopf216729.76
Giovanni Samaey38315.78