Efficient control of accelerator maps

Abstract

Recently, the Hamiltonian Control Theory was used in [Boreux et al.] to increase the dynamic aperture of a ring particle accelerator having a localized thin sextupole magnet. In this letter, 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 1 degree of freedom.

References in corpus (3)

• Space Charges Can Significantly Affect the Dynamics of Accelerator Maps
• Controlling chaos in area-preserving maps
• Improving beam stability in particle accelerator models by using Hamiltonian control

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