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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.
|Place of Publication||Namur|
|Publisher||FUNDP. Namur center for complex systems|
|Publication status||Published - 4 Apr 2011|
|Name||naXys Technical Reports Series|
|Publisher||University of Namur|
- Symplectic maps
- Hamiltonian control
- Particle accelerators
- SALI method
- Dynamical aperture
8/01/08 → …
BOREUX, J. & Carletti, T.
1/10/08 → 30/09/14