ON THE COMPLEX GINZBURG–LANDAU EQUATION WITH A DELAYED FEEDBACK-Reference-Cited by-同舟云学术

ON THE COMPLEX GINZBURG–LANDAU EQUATION WITH A DELAYED FEEDBACK

Published:2006-01 Issue:01 Volume:16 Page:1-17
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

CASAL A. C.¹,DÍAZ J. I.²

Affiliation:

1. Dept. de Matemática Aplicada, E.T.S. Arquitectura, Univ. Politécnica de Madrid, 28040 Madrid, Spain

2. Dept. de Matemática Aplicada, Fac. de Matemáticas, Univ. Complutense de Madrid, 28040 Madrid, Spain

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202506001030

Reference23 articles.

1. Controlling turbulence in the complex Ginzburg-Landau equation

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