Published 1988 | Version v1
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Effect of 2νz+2νx=3, 3νz-νx=2, 4νz+νx=4 resonances on betatron oscillation amplitudes

Creators

Description

The effect of nonlinear resonances on betatron oscillation amplitudes in a cyclic accelerator are investigated. The study is performed by the Krylov-Bogolyubov averaging method in high approximation. The REDUCE - 3.2 analytical programs system is applied. The sufficient conditions for betatron oscillation amplitudes finiteness under effect of these resonances are obtained in the third approximation of the JINR synchrophasotron. 10 refs

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MF available from INIS under the Report Number.

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Additional details

Additional titles

Original title (Russian)
Влияние резонансов 2ν

Publishing Information

Imprint Pagination
14 p.
Report number
JINR-R--11-88-714

INIS

Country of Publication
USSR
Country of Input or Organization
USSR
INIS RN
21032076
Subject category
S43: PARTICLE ACCELERATORS; S99: GENERAL AND MISCELLANEOUS;
Descriptors DEI
ANALYTICAL SOLUTION; ASYMPTOTIC SOLUTIONS; BETATRON OSCILLATIONS; BOGOLYUBOV TRANSFORMATION; JINR SYNCHROTRON; R CODES
Descriptors DEC
ACCELERATORS; BEAM DYNAMICS; CANONICAL TRANSFORMATIONS; COMPUTER CODES; CYCLIC ACCELERATORS; DYNAMICS; MECHANICS; OSCILLATIONS; SYNCHROTRONS; TRANSFORMATIONS