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Fix-lines and stability domain in the vicinity of the coupled third order resonance
The single particle stability in a circular accelerator is of concern especially for operational regimes involving beam storage of hours. In the proximity to a resonance this stability domain shrinks, and the phase space fragments into a jungle of exotic objects like for instance "fix-lines&quo...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
2015
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| Materias: | |
| Acceso en línea: | http://cds.cern.ch/record/2010571 |
| _version_ | 1780946501922455552 |
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| author | Franchetti, Giuliano Schmidt, Frank |
| author_facet | Franchetti, Giuliano Schmidt, Frank |
| author_sort | Franchetti, Giuliano |
| collection | CERN |
| description | The single particle stability in a circular accelerator is of concern especially for operational regimes involving beam storage of hours. In the proximity to a resonance this stability domain shrinks, and the phase space fragments into a jungle of exotic objects like for instance "fix-lines". The concept of fix-points is easily understandable in a 2D phase space. It becomes quite challenging when the effect of resonances is considered in the 4D phase space, which leads then to the concept of fix-lines. In this paper we investigate the fix-lines in the proximity of a coupled third order resonance and find the relation of these objects with the stability of motion. |
| id | cern-2010571 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2015 |
| record_format | invenio |
| spelling | cern-20105712023-03-14T18:26:54Zhttp://cds.cern.ch/record/2010571engFranchetti, GiulianoSchmidt, FrankFix-lines and stability domain in the vicinity of the coupled third order resonanceAccelerators and Storage RingsThe single particle stability in a circular accelerator is of concern especially for operational regimes involving beam storage of hours. In the proximity to a resonance this stability domain shrinks, and the phase space fragments into a jungle of exotic objects like for instance "fix-lines". The concept of fix-points is easily understandable in a 2D phase space. It becomes quite challenging when the effect of resonances is considered in the 4D phase space, which leads then to the concept of fix-lines. In this paper we investigate the fix-lines in the proximity of a coupled third order resonance and find the relation of these objects with the stability of motion.The single particle stability in a circular accelerator is of concern especially for operational regimes involving beam storage of hours. In the proximity to a resonance this stability domain shrinks, and the phase space fragments into a jungle of exotic objects like for instance "fix-lines". The concept of fix-points is easily understandable in a 2D phase space. It becomes quite challenging when the effect of resonances is considered in the 4D phase space, which leads then to the concept of fix-lines. In this paper we investigate the fix-lines in the proximity of a coupled third order resonance and find the relation of these objects with the stability of motion.arXiv:1504.04389oai:cds.cern.ch:20105712015-04-16 |
| spellingShingle | Accelerators and Storage Rings Franchetti, Giuliano Schmidt, Frank Fix-lines and stability domain in the vicinity of the coupled third order resonance |
| title | Fix-lines and stability domain in the vicinity of the coupled third order resonance |
| title_full | Fix-lines and stability domain in the vicinity of the coupled third order resonance |
| title_fullStr | Fix-lines and stability domain in the vicinity of the coupled third order resonance |
| title_full_unstemmed | Fix-lines and stability domain in the vicinity of the coupled third order resonance |
| title_short | Fix-lines and stability domain in the vicinity of the coupled third order resonance |
| title_sort | fix-lines and stability domain in the vicinity of the coupled third order resonance |
| topic | Accelerators and Storage Rings |
| url | http://cds.cern.ch/record/2010571 |
| work_keys_str_mv | AT franchettigiuliano fixlinesandstabilitydomaininthevicinityofthecoupledthirdorderresonance AT schmidtfrank fixlinesandstabilitydomaininthevicinityofthecoupledthirdorderresonance |