| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 767127 | Communications in Nonlinear Science and Numerical Simulation | 2012 | 14 Pages |
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.
► Enlargement of dynamical aperture of particle accelerator. ► Development of Hamiltonian control theory in mapping. ► Validation of the method by chaos indicator SALI.
Keywords
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Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
J. Boreux, T. Carletti, Ch. Skokos, M. Vittot,