Multiperiodic states and bifurcations in bunch lengthening by a localized impedance in electron storage ring
Multiperiodic states and bifurcations in bunch lengthening by a localized impedance in electron storage ring
复制标题
电子存储环中局域阻抗导致的束团延长中的多周期态和分岔
DOI：
10.1109/23.915363
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发表时间：
2001
影响因子：
1.8
通讯作者：
M. Yoon
中科院分区：
文献类型：
--
作者：
E. Kim;M. Yoon
使用局部恒定尾流函数研究电子存储环中束团的平衡粒子分布。结果表明，在一定条件下，稳定的多周期态可以同时存在。当系统在参数空间中移动时，系统会表现出并不总是可逆的分叉现象。我们使用高斯近似研究这种行为，并将结果与多粒子跟踪进行比较。结果显示定性一致。
The equilibrium particle distribution of a bunch in an electron storage ring is investigated using a localized constant wake function. It is shown that, under some conditions, stable multiperiodic states can exist simultaneously. When moving around the parameter space, the system can show bifurcation phenomena which is not always reversible. We study this behavior using the Gaussian approximation and compare the results with multiparticle tracking. The results show qualitative agreement.