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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.
|Number of pages||14|
|Journal||Communication in Nonlinear Science and Numerical Simulation|
|Publication status||Published - 2012|
- Accelerator mappings
- Hamiltonian system
- Dynamical aperture
FingerprintDive into the research topics of 'Hamiltonian control used to improve the beam stability in particle accelerator models'. Together they form a unique fingerprint.
8/01/08 → …
BOREUX, J. & Carletti, T.
1/10/08 → 30/09/14