Hamiltonian control used to improve the beam stability in particle accelerator models

Jehan Boreux; Timoteo Carletti; Haris Skokos; Michel Vittot

Hamiltonian control used to improve the beam stability in particle accelerator models

Jehan Boreux, Timoteo Carletti, Haris Skokos, Michel Vittot

Namur Institute for Complex Systems

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Abstract

We derive a Hamiltonian control theory which can be applied to a 4D symplectic map that models a ring particle accelerator composed of elements with sextupole nonlinearity. The controlled system is designed to exhibit a more regular orbital behavior than the uncontrolled one. Using the Smaller Alignment Index (SALI) chaos indicator, we are able to show that the controlled system has a dynamical aperture up to 1.7 times larger than the original model.

Original language	English
Pages (from-to)	1725-1738
Number of pages	14
Journal	Communication in Nonlinear Science and Numerical Simulation
Volume	17
Issue number	4
Publication status	Published - 2012

Keywords

Accelerator mappings
Hamiltonian system
Chaos
Dynamical aperture
Control

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CNSNS 17 2012pp1725Final published version, 879 KB

http://www.sciencedirect.com/science/article/pii/S1007570411005466

1 Finished
1 Active

Management and development of the intensive numerical computation cluster
Carletti, T., DELSATE, N. & Fuzfa, A.
8/01/08 → …
Project: Research
Long range interactions. The Hamiltonian Mean Field, a model system.
BOREUX, J. & Carletti, T.
1/10/08 → 30/09/14
Project: PHD

Cite this

@article{00456eb9342349a1ba0876408600d3c5,

title = "Hamiltonian control used to improve the beam stability in particle accelerator models",

abstract = "We derive a Hamiltonian control theory which can be applied to a 4D symplectic map that models a ring particle accelerator composed of elements with sextupole nonlinearity. The controlled system is designed to exhibit a more regular orbital behavior than the uncontrolled one. Using the Smaller Alignment Index (SALI) chaos indicator, we are able to show that the controlled system has a dynamical aperture up to 1.7 times larger than the original model.",

keywords = "Accelerator mappings, Hamiltonian system, Chaos, Dynamical aperture, Control",

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T1 - Hamiltonian control used to improve the beam stability in particle accelerator models

AU - Boreux, Jehan

AU - Carletti, Timoteo

AU - Skokos, Haris

AU - Vittot, Michel

PY - 2012

Y1 - 2012

N2 - We derive a Hamiltonian control theory which can be applied to a 4D symplectic map that models a ring particle accelerator composed of elements with sextupole nonlinearity. The controlled system is designed to exhibit a more regular orbital behavior than the uncontrolled one. Using the Smaller Alignment Index (SALI) chaos indicator, we are able to show that the controlled system has a dynamical aperture up to 1.7 times larger than the original model.

AB - We derive a Hamiltonian control theory which can be applied to a 4D symplectic map that models a ring particle accelerator composed of elements with sextupole nonlinearity. The controlled system is designed to exhibit a more regular orbital behavior than the uncontrolled one. Using the Smaller Alignment Index (SALI) chaos indicator, we are able to show that the controlled system has a dynamical aperture up to 1.7 times larger than the original model.

KW - Accelerator mappings

KW - Hamiltonian system

KW - Chaos

KW - Dynamical aperture

KW - Control

M3 - Article

VL - 17

SP - 1725

EP - 1738

JO - Communication in Nonlinear Science and Numerical Simulation

JF - Communication in Nonlinear Science and Numerical Simulation

IS - 4

ER -

Hamiltonian control used to improve the beam stability in particle accelerator models

Abstract

Keywords

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Projects

Management and development of the intensive numerical computation cluster

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

Cite this