Physics of Particles and Nuclei Letters

, Volume 11, Issue 5, pp 581–583 | Cite as

Damping of coherent betatron oscillations of a charged particle beam in synchrotrons with a feedback system

Physics and Technique of Accelerators
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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.

Keywords

Feedback System Nucleus Letter Delay Differential Equation Optimal Arrangement Charged Particle Beam 

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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Joint Institute for Nuclear ResearchDubnaRussia
  2. 2.Saint Petersburg State UniversitySaint PetersburgRussia

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