| 一类时滞单模激光系统的Hopf分岔与混沌 |
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| 引用本文： | 廖丹薇,廖茂新.一类时滞单模激光系统的Hopf分岔与混沌[J].南华大学学报(自然科学版),2017,31(2):42-46. |
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| 作者姓名： | 廖丹薇 廖茂新 |
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| 作者单位： | 吉林大学 物理学院,吉林 长春 130012,南华大学 数理学院,湖南 衡阳 421001 |
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| 基金项目： | 国家自然科学基金项目(61673008);湖南省教育厅重点项目(17A181) |
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| 摘 要： | 讨论一类时滞单模激光系统的动力学性质.通过应用频域上时滞微分方程的Hopf分岔理论,得到系统在临界时滞处出现Hopf分岔,当时滞较大时,系统从Hopf分岔走向混沌.最后,通过数值模拟验证了所得的结论.
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| 关 键 词： | Hopf分岔 混沌 单模激光 频域 |
| 收稿时间： | 2017/5/19 0:00:00 |
Bifurcation and Chaos in a Delayed Single-mode Laser System |
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| LIAO Dan-wei and LIAO Mao-xin.Bifurcation and Chaos in a Delayed Single-mode Laser System[J].Journal of Nanhua University:Science and Technology,2017,31(2):42-46. |
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| Authors: | LIAO Dan-wei and LIAO Mao-xin |
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| Institution: | College of Physics,Jilin University,Changchun,Jilin 130012,China and School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China |
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| Abstract: | In this paper,the dynamic properties for a delayed single-mode laser system are investigated.By employing the theory of Hopf bifurcation for delayed differential equations in the frequency domain,it is found that the laser system undergoes a Hopf bifurcation at the critical delay,and the laser system goes from bifurcation to chaos when the delay becomes larger than the critical delay.Finally,some numerical simulations to verify the results and conclusions are presented. |
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| Keywords: | Hopf bifurcation chaos single-mode laser frequency domain |
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