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

Résultats de recherche: Contribution à un journal/une revue › Article › Revue par des pairs

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Résumé

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.

langue originale	Anglais
Pages (de - à)	1725-1738
Nombre de pages	14
journal	Communication in Nonlinear Science and Numerical Simulation
Volume	17
Numéro de publication	4
Etat de la publication	Publié - 2012

Accès au document

CNSNS 17 2012pp1725Version finale publiée, 879 KB

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

1 Terminé
1 Actif

Gestion et développement d'un cluster de calcul numérique intensif
Carletti, T. (Co-investigateur), DELSATE, N. (Chercheur) & Fuzfa, A. (Co-investigateur)
8/01/08 → …
Projet: Recherche
Intéractions à longue portées. Le Hamiltonian Mean Field, un système modèle.
BOREUX, J. (Chercheur) & Carletti, T. (Co-investigateur)
1/10/08 → 30/09/14
Projet: Projet de thèse

Contient cette citation

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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",

author = "Jehan Boreux and Timoteo Carletti and Haris Skokos and Michel Vittot",

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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

SN - 1878-7274

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

Résumé

Accès au document

Empreinte digitale

Projets

Gestion et développement d'un cluster de calcul numérique intensif

Intéractions à longue portées. Le Hamiltonian Mean Field, un système modèle.

Contient cette citation