Dynamic Stability and Phase Planar Property for Radial Sector Cyclotrons with N-Folded Symmetry

Luo Shi-yu

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Luo Shi-yu. Dynamic Stability and Phase Planar Property for Radial Sector Cyclotrons with N-Folded Symmetry[J]. Applied Mathematics and Mechanics, 1985, 6(6): 499-506.

Citation:

Luo Shi-yu. Dynamic Stability and Phase Planar Property for Radial Sector Cyclotrons with N-Folded Symmetry[J]. Applied Mathematics and Mechanics, 1985, 6(6): 499-506.

Citation:

Luo Shi-yu. Dynamic Stability and Phase Planar Property for Radial Sector Cyclotrons with N-Folded Symmetry[J]. Applied Mathematics and Mechanics, 1985, 6(6): 499-506.

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Dynamic Stability and Phase Planar Property for Radial Sector Cyclotrons with N-Folded Symmetry

Luo Shi-yu

Chongqing Jiaotong Institute, Chongqing

Received Date: 1984-03-03
Publish Date: 1985-06-15

Abstract

Abstract

The particle nonlinear motion equation for a radial sector cyclotron with N-folded symmetry was derived. The betalron oscillations frequency with N=4. 5, 6, 8, 10 and the phase planar properlies before and after v_x=4/3 resonance with N=4, f=0.578 were analyzed, by using numerical method. The dynamic stabililies and nonlinear properties were discussed, the result compared with those of ref. [1] shows that both are consistent when nonlinear terms are neglected.

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References(8)

References

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