ON THE COMPLEX GINZBURG–LANDAU EQUATION WITH A DELAYED FEEDBACK

Alfonso C. Casal, Jesús Ildefonso Díaz Díaz

Mathematical Models and Methods in Applied Sciences · 2006 · 48 citations · 12 references

Concepts

Abstract

We show how to stabilize the uniform oscillations of the complex Ginzburg–Landau equation with periodic boundary conditions by means of some global delayed feedback. The proof is based on an abstract pseudo-linearization principle and a careful study of the spectrum of the linearized operator.

References

12