Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback

DOI10.1016/S0167-2789(02)00656-5zbMath1023.34064MaRDI QIDQ701518

Bernd Krauskopf, Kirk Green, Koen Engelborghs

Publication date: 3 November 2002

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

zbMATH Keywords

chaosbifurcation diagramsunstable saddle periodic orbit manifolds

Mathematics Subject Classification ID

Lasers, masers, optical bistability, nonlinear optics (78A60) Bifurcation theory of functional-differential equations (34K18) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

Related Items (7)

Computing unstable manifolds of periodic orbits in delay differential equations ⋮ Numerical approximations of strong (un)stable manifolds ⋮ One-dimensional unstable eigenfunction and manifold computations in delay differential equations ⋮ PATTERNS OF EXACT SYNCHRONIZATION IN CHAINS OF FEEDBACK LOOPS WITH TWO CHARACTERISTIC TIME-LAGS ⋮ Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays ⋮ Global stability of synchronization between delay-differential systems with generalized diffusive coupling ⋮ Bifurcation Analysis of Frequency Locking in a Semiconductor Laser with Phase-Conjugate Feedback

Uses Software

• AUTO
• DDE-BIFTOOL

Cites Work

• Ordinary and delay differential equations
• Growing 1D and quasi-2D unstable manifolds of maps
• Introduction to functional differential equations
• Explosions of chaotic sets
• Numerical bifurcation analysis of delay differential equations
• Computing unstable manifolds of periodic orbits in delay differential equations
• Delay equations. Functional-, complex-, and nonlinear analysis
• Collocation Methods for the Computation of Periodic Solutions of Delay Differential Equations
• Bifurcation Analysis of Frequency Locking in a Semiconductor Laser with Phase-Conjugate Feedback
• A Behavioral Approach To Delay-Differential Systems
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• Elements of applied bifurcation theory

This page was built for publication: Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback