Control of chaotic transport in Hamiltonian systems

Details Control of chaotic transport in Hamiltonian systems Control of chaotic transport in Hamiltonian systems

2003-04-19

arxiv.org/abs/nlin/0304040v3

Nonlinear Sciences

Chaotic Dynamics

Latex2e-Revtex, 4 pages, 6 figures

Scientific paper

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.

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