| 引用本文: | 孙丕忠.van der Pol 振子在负反馈作用下的动力性态分析.[J].国防科技大学学报,1994,16(1):115-119.[点击复制] |
| Sun Pizhong.The Dynamical Behaviour Analysis of the van Der Pol Oscillator with the Negative Feedback[J].Journal of National University of Defense Technology,1994,16(1):115-119[点击复制] |
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| van der Pol 振子在负反馈作用下的动力性态分析 |
| 孙丕忠 |
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(国防科技大学 航天技术系 湖南 长沙 410073)
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| 摘要: |
| 本文从非线性振动理论和反馈控制论的角度研究了van der Pol振子在负反馈作用下的动力性态，用中心流形法和形式级数法分析了van der Pol振子的局部稳定性和 Hopf分叉行为，用 Runge-Kutta 法给出了仿真结果。 |
| 关键词: 非线性，负反馈，动力性态 |
| DOI： |
| 投稿日期：1993-03-01 |
| 基金项目: |
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| The Dynamical Behaviour Analysis of the van Der Pol Oscillator with the Negative Feedback |
| Sun Pizhong |
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(Department of Astronautic Technology，NUDT，Changsha，410073)
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| Abstract: |
| In this paper，the dynamical behaviour of the van der Pol oscillator with the negative feedback is studied based on the nonlinear dynamics and the feedback control theory. The local stability and Hopf bifurcation behaviour are analysed by the center-manifold method and formal-Series method. The calculation results are brought about by Runge-Kutta method. |
| Keywords: nonlinearity,negative feedback,dynamical behaviour |
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