Efficient control of accelerator maps

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

doi:10.1142/S0218127412502197

Efficient control of accelerator maps

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

Namur Institute for Complex Systems

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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 language	English
Journal	International Journal of Bifurcation and Chaos
Volume	22
Issue number	9
DOIs	https://doi.org/10.1142/S0218127412502197
Publication status	Published - 1 Sept 2012

Keywords

Symplectic maps
Hamiltonian control
Particle accelerators
SALI method
Dynamical aperture

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10.1142/S0218127412502197

70436Submitted manuscript, 652 KB

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Efficient control of accelerator maps

Abstract

Keywords

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Management and development of the intensive numerical computation cluster

Long range interactions. The Hamiltonian Mean Field, a model system.

Cite this

Efficient control of accelerator maps

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Projects

Management and development of the intensive numerical computation cluster

Long range interactions. The Hamiltonian Mean Field, a model system.

Cite this