2003/04/19 by Guido Ciraolo, C. Chandré, Ciraolo, Guido +14
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Magnetic confinement fusion research #Mathematical Physics (math-ph) #Plasma Physics (physics.plasm-ph) #Quantum chaos and dynamical systems #math-ph #math.MP #nlin.CD #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.nlin/0304040
Latex2e-Revtex, 4 pages, 6 figures
openalex publication_date 2003/04/19 · arxiv created 2003/06/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.