Efficient control of accelerator maps

Jehan Boreux, Timoteo Carletti, C. Skokos, Y. Papaphilippou, M. Vittot

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Abstract

Recently, the Hamiltonian Control Theory was used in [Boreux et al., 2012] to increase the dynamic aperture of a ring particle accelerator having a localized thin sextupole magnet. In this paper, these results are extended by proving that a simplified version of the obtained general control term leads to significant improvements of the dynamic aperture of the uncontrolled model. In addition, the dynamics of flat beams based on the same accelerator model can be significantly improved by a reduced controlled term applied in only one degree of freedom. © 2012 World Scientific Publishing Company.
Original languageEnglish
JournalInternational Journal of Bifurcation and Chaos
Volume22
Issue number9
DOIs
Publication statusPublished - 1 Sep 2012

Keywords

  • Symplectic maps
  • Hamiltonian control
  • Particle accelerators
  • SALI method
  • Dynamical aperture

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