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