Published 1982
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Effect of the third order difference resonance 2νsub(Z)-νsub(X)=1 on the particle motion in cyclic accelerators
Description
The third-order resonanCe 2νsUb(z) - πsub(x) = 1 which occurs near the working point of the JINR synchrophasotron is studied. The investigation was performed using the Krylov-Bogolubov averaging method. The first approach of the resonance was analytically investigated. The second one was evaluated with the help of the system for analytical evaluation by the REDUCE-2 computer. The boundedness of amplitUdes on time interval [0, 1/2] has been proved
Availability note (English)
MF available from INIS under the Report Number.Files
15013835.pdf
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Additional details
Additional titles
- Original title (Russian)
- Влияние разностного резонанса третьего порядка 2νsub(З)-νsub(X)=1 на движение частиц в циклических ускорителях
Publishing Information
- Imprint Pagination
- 7 p.
- Report number
- JINR-R--5-82-879
INIS
- Country of Publication
- USSR
- Country of Input or Organization
- USSR
- INIS RN
- 15013835
- Subject category
- S43: PARTICLE ACCELERATORS;
- Descriptors DEI
- ANALYTICAL SOLUTION; BEAM DYNAMICS; EQUATIONS OF MOTION; JINR SYNCHROTRON; RESONANCE
- Descriptors DEC
- ACCELERATORS; CYCLIC ACCELERATORS; DIFFERENTIAL EQUATIONS; DYNAMICS; EQUATIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; SYNCHROTRONS
Optional Information
- Notes
- 10 refs.