title: Delay stabilization of rotating waves near fold bifurcation and application to all-optical control of a semiconductor laser.
abstract: We consider the delayed feedback control method for stabilization of unstable rotating waves near a fold bifurcation. Theoretical analysis of a generic model and numerical bifurcation analysis of the rate-equations model demonstrate that such orbits can always be stabilized by a proper choice of control parameters. Our paper confirms the recently discovered invalidity of the so-called "odd-number limitation" of delayed feedback control. Previous results have been restricted to the vicinity of a subcritical Hopf bifurcation. We now refute such a limitation for rotating waves near a fold bifurcation. We include an application to all-optical realization of the control in three-section semiconductor lasers.
authors.affiliation: Institut für Mathematik I, FU Berlin, Arnimallee 2-6, D-14195 Berlin, Germany.
authors.forename: B
authors.initials: B
authors.lastname: Fiedler
authors.forename: S
authors.initials: S
authors.lastname: Yanchuk
authors.forename: V
authors.initials: V
authors.lastname: Flunkert
authors.forename: P
authors.initials: P
authors.lastname: Hövel
authors.forename: H-J
authors.initials: HJ
authors.lastname: Wünsche
authors.forename: E
authors.initials: E
authors.lastname: Schöll