| 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.[LIAO Dan-wei,LIAO Mao-xin.Bifurcation and Chaos in a Delayed Single-mode Laser System[J].Journal of University of South China(Science and Technology),2017,31(2):42~46.] |
| 一类时滞单模激光系统的Hopf分岔与混沌 |
| Bifurcation and Chaos in a Delayed Single-mode Laser System |
| 投稿时间：2017-05-19 |
| DOI： |
| 中文关键词: Hopf分岔 混沌 单模激光 频域 |
| 英文关键词:Hopf bifurcation chaos single-mode laser frequency domain |
| 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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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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