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

Abstract

In this paper we discuss the control of complex spatio-temporal dynamics in a spatially extended nonlinear 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.

Authors:
; ;  [1]
  1. Department of Nonlinear Processes, Saratov State University, Astrakhanskaya, 83, Saratov, 410012 (Russian Federation)
Publication Date:
OSTI Identifier:
20768754
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 16; Journal Issue: 1; Other Information: DOI: 10.1063/1.2168394; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BEAM-PLASMA SYSTEMS; CHAOS THEORY; CONTROL THEORY; DEGREES OF FREEDOM; ELECTRON BEAMS; EQUILIBRIUM; FEEDBACK; MICROWAVE RADIATION; NONLINEAR PROBLEMS; ORBITS; PERIODICITY; STABILIZATION

Citation Formats

Hramov, Alexander E., Koronovskii, Alexey A., and Rempen, Irene S.. Controlling chaos in spatially extended beam-plasma system by the continuous delayed feedback. United States: N. p., 2006. Web. doi:10.1063/1.2168394.
Hramov, Alexander E., Koronovskii, Alexey A., & Rempen, Irene S.. Controlling chaos in spatially extended beam-plasma system by the continuous delayed feedback. United States. doi:10.1063/1.2168394.
Hramov, Alexander E., Koronovskii, Alexey A., and Rempen, Irene S.. Wed . "Controlling chaos in spatially extended beam-plasma system by the continuous delayed feedback". United States. doi:10.1063/1.2168394.
@article{osti_20768754,
title = {Controlling chaos in spatially extended beam-plasma system by the continuous delayed feedback},
author = {Hramov, Alexander E. and Koronovskii, Alexey A. and Rempen, Irene S.},
abstractNote = {In this paper we discuss the control of complex spatio-temporal dynamics in a spatially extended nonlinear 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.},
doi = {10.1063/1.2168394},
journal = {Chaos (Woodbury, N. Y.)},
number = 1,
volume = 16,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}