Damping of coherent betatron oscillations of a charged particle beam in synchrotrons with a feedback system |
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| Authors: | V. M. Zhabitsky O. N. Chizhova |
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| Affiliation: | 1. Joint Institute for Nuclear Research, Dubna, 141980, Russia
2. Saint Petersburg State University, Saint Petersburg, 199034, Russia
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| Abstract: | Decisions of a delay differential equation which describes the dynamics of a charged particle beam in the smoothed approach in synchrotrons with a feedback system are analyzed. Features of the decisions for frequency shifts and decrements of coherent betatron oscillation damping caused by a signal delay in the feedback loop are revealed. |
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