| 一维晶化束的非线性动力学(Ⅱ) |
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| 引用本文： | 邵明珠,罗诗裕.一维晶化束的非线性动力学(Ⅱ)[J].物理学报,1990,39(8):18-24. |
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| 作者姓名： | 邵明珠 罗诗裕 |
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| 作者单位： | 重庆交通学院,重庆,630073,西南师范大学,重庆,630715 |
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| 摘 要： | 本文导出了参数激励的横向相干振动方程。用多重尺度法求出了系统的近似解,用经典方法讨论了它的稳定性,导出了系统的临界梯度场公差和频率响应曲线。此外,还利用Melni-kov方法讨论了系统的全局分叉并以储存环ESR为例进行了详细分析。
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| 关 键 词： | 一维库仑链 动力学问题 束流晶化 |
| 收稿时间： | 1989-08-28 |
NONLINEAR DYNAMICS OF ONE-DIMENSIONAL CRYSTALLINE BEAM (Ⅱ) |
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| SHAO MING-ZHU,I. HOFMANN and LUO SHI-YU.NONLINEAR DYNAMICS OF ONE-DIMENSIONAL CRYSTALLINE BEAM (Ⅱ)[J].Acta Physica Sinica,1990,39(8):18-24. |
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| Authors: | SHAO MING-ZHU I HOFMANN and LUO SHI-YU |
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| Abstract: | An equation for coherent oscillation excited by parameters for one-dimensional Coulomb chain has been derived, which includes constant cooling force. An approximate solution of the system has been found using a multiple scale method, and its stability discussed by classical method. Besides, we have also discussed global bifurcation of the system by Melnikov method, and derived a critical error of gradient field for ESR at GSI. |
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