Hopf Bifurcation Subject to a Large Delay in a Laser System

DOI10.1137/S0036139999360131zbMath0981.37015OpenAlexW2082305832MaRDI QIDQ4507322

Thomas Erneux, Didier Pieroux, Athanasios Gavrielides, Vassilios Kovanis

Publication date: 18 October 2000

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

Full work available at URL: https://doi.org/10.1137/s0036139999360131

zbMATH Keywords

semiconductordelay-differential equationsquasi-periodic oscillationslaser instabilitiestwo-time solutionbifurcation to periodic oscillations

Mathematics Subject Classification ID

Singular perturbations of ordinary differential equations (34D15) Lasers, masers, optical bistability, nonlinear optics (78A60) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcation theory of functional-differential equations (34K18) Multiple scale methods for ordinary differential equations (34E13) Asymptotic analysis in optics and electromagnetic theory (78M35)

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