| 一类含有可饱和吸收体第二类激光系统Hopf分支的分析 |
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| 引用本文： | 李云. 一类含有可饱和吸收体第二类激光系统Hopf分支的分析[J]. 西北师范大学学报(自然科学版), 1993, 29(4): 22-29 |
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| 作者姓名： | 李云 |
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| 作者单位： | 武汉水运工程学院 |
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| 摘 要： | 讨论含有可饱和吸收体第二类激光系统的Hopf分支问题,分析了系统平衡解的稳定性及其产生Hopf分支的条件;得到了系统的分支周期解及其稳定性的判据;并阐述了本文结果的物理意义。
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| 关 键 词： | 第二类 激光系统 饱和吸收体 Hopf |
Analysis for Hopf Bifurcation of the Second Class of Lasers System with Saturable Absorbent |
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| Li Yun. Analysis for Hopf Bifurcation of the Second Class of Lasers System with Saturable Absorbent[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 1993, 29(4): 22-29 |
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| Authors: | Li Yun |
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| Affiliation: | Wuhan Water Transporting engineering College |
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| Abstract: | In this paper, the problem for Hopf bifurcation of the second class of lasers system with saturable absorbent is discussed, and the existence and stability of bifurcating periodic solutions for this systems is proved. The asymptotic form and periods of the small amplitude periodic solutions bifurcating from the steady state are obtained. In the course of time, the physical meaning of the results for this paper is explained. |
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| Keywords: | second class of lasers system saturable absorbent Hopf bifurcation bifurcating periodic solution |
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