Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2003-12-17
Phys. Rev. E 69, 056213 (2004)
Nonlinear Sciences
Chaotic Dynamics
17 pages, 21 figures
Scientific paper
10.1103/PhysRevE.69.056213
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 cut-off 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.
Briolle Francoise
Chandre Cristel
Ciraolo Guido
Figarella Charles
Floriani Elena
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