Corpus ID: 118184326

Control of chaotic transport in Hamiltonian systems

@article{Ciraolo2003ControlOC,
  title={Control of chaotic transport in Hamiltonian systems},
  author={G. Ciraolo and C. Chandre and R. Lima and M. Vittot and M. Pettini and C. Figarella and P. Ghendrih},
  journal={arXiv: Chaotic Dynamics},
  year={2003}
}
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… Expand
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References

Perturbation theory and control in classical or quantum mechanics by an inversion formula
We consider a perturbation of an 'integrable' Hamiltonian and give an expression for the canonical or unitary transformation which 'simplifies' this perturbed system. The problem is to invert aExpand