Dynamic stability and phase plane property for radial sector cyclotrons with N-folded symmetry (Q1065577)
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scientific article; zbMATH DE number 3924198
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamic stability and phase plane property for radial sector cyclotrons with N-folded symmetry |
scientific article; zbMATH DE number 3924198 |
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Dynamic stability and phase plane property for radial sector cyclotrons with N-folded symmetry (English)
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1985
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The nonlinear equation of motion for a particle in a radial sector cyclotron with N-folded symmetry is derived. The betatron oscillations frequency with \(N=4,5,6,8,10\) and the phase plane properties before and after \(\nu_ x=4/3\) resonance with \(N=4\), \(f=0.578\) are analyzed by numerical methods.
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radial sector cyclotron
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N-folded symmetry
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betatron oscillations frequency
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resonance
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numerical methods
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0.7171302437782288
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