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On the complex Ginzburg-Landau equation with a delayed feedback

Díaz Díaz, Jesús Ildefonso and Casal, Alfonso C. (2006) On the complex Ginzburg-Landau equation with a delayed feedback. Mathematical Models and Methods in Applied Sciences, 16 (1). pp. 1-17. ISSN 0218-2025

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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.

Item Type:Article
Uncontrolled Keywords:linearized stability; turbulence
Subjects:Sciences > Mathematics > Cybernetics
ID Code:15412
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