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Abstract

It is shown that a relevant control of Hamiltonian chaos is possible through suitable small perturbations whose form can be explicitly computed. In particular, it is possible to control (reduce) the chaotic diffusion in the phase space of a Hamiltonian system with 1.5 degrees of freedom which models the diffusion of charged test particles in a turbulent electric field across the confining magnetic field in controlled thermonuclear fusion devices. Though still far from practical applications, this result suggests that some strategy to control turbulent transport in magnetized plasmas, in particular, tokamaks, is conceivable. The robustness of the control is investigated in terms of a departure from the optimum magnitude, of a varying cutoff at large wave vectors, and of random errors on the phases of the modes. In all three cases, there is a significant region of maximum efficiency in the vicinity of the optimum control term.

Additional information

Authors: CIRAOLO G, Facoltà di Ingegneria, Università di Firenze, Firenze (IT);FIGARELLA C, Département de Recherches sur la Fusion Contrôlée, Association Euratom-CEA sur la Fusion, CEA Cadarache, Saint-Paul-lez-Durance (FR);GHENDRIH P, Département de Recherches sur la Fusion Contrôlée, Association Euratom-CEA sur la Fusion, CEA Cadarache, Saint-Paul-lez-Durance (FR);BRIOLLE F, CPT-CNRS, Marseille (FR);CHANDRE C, CPT-CNRS, Marseille (FR);FLORIANI E, CPT-CNRS, Marseille (FR);LIMA R, CPT-CNRS, Marseille (FR);VITTOT M, CPT-CNRS, Marseille (FR);PETTINI M, Istituto Nazionale di Astrofisica, Osservatorio Astrofisico di Arcetri, Firenze (IT)
Bibliographic Reference: An article published in: Physical Review E, Vol. 69 (2004), p. 056213-1 à 056213-16
Availability: This article can be accessed online by subscribers, and can be ordered online by non-subscribers, at: http://pre.aps.org/
Record Number: 200518076 / Last updated on: 2005-04-19
Category: PUBLICATION
Original language: en
Available languages: en
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