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.
Original languageEnglish
Pages (from-to)581-583
JournalPhysics of Particles and Nuclei Letters
Volume11
Issue number5
DOIs
StatePublished - 2014

ID: 7037672