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

Jehan Boreux, Timoteo Carletti, Haris Skokos, Michel Vittot

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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 languageEnglish
Pages (from-to)1725-1738
Number of pages14
JournalCommunication in Nonlinear Science and Numerical Simulation
Volume17
Issue number4
Publication statusPublished - 2012

Keywords

  • Accelerator mappings
  • Hamiltonian system
  • Chaos
  • Dynamical aperture
  • Control

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