Delay stabilization of rotating waves near fold bifurcation and application to all-optical control of a semiconductor laser

作者：Fiedler B^*; Yanchuk S; Flunkert V; Hoevel P; Wuensche H J; Schoell E

来源：Physical Review E, 2008, 77(6): 066207.

DOI：10.1103/PhysRevE.77.066207

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.

• 出版日期2008-6