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Controlling chaos in spatially extended beam-plasma system by the continuous delayed feedback

By A Hramov, I Rempen and A A Koronovskii

Abstract

In present paper we discuss the control of complex spatio-temporal dynamics in a {spatially extended} non-linear system (fluid model of Pierce diode) based on the concepts of controlling chaos in the systems with few degrees of freedom. A presented method is connected with stabilization of unstable homogeneous equilibrium state and the unstable spatio-temporal periodical states analogous to unstable periodic orbits of chaotic dynamics of the systems with few degrees of freedom. We show that this method is effective and allows to achieve desired regular dynamics chosen from a number of possible in the considered system

Topics: Other Fields of Physics
Year: 2006
DOI identifier: 10.1063/1.2168394
OAI identifier: oai:cds.cern.ch:930666
Provided by: CERN Document Server
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