| 分布参数动力学系统的Hopf分叉 |
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| 引用本文： | 郭乾荣.分布参数动力学系统的Hopf分叉[J].上海交通大学学报,1989,23(2):45-52. |
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| 作者姓名： | 郭乾荣 |
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| 作者单位： | 上海交通大学工程力学系 |
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| 摘 要： | 本文用无限维可微动力学理论讨论了分布参数动力学系统的Hopf 分叉问题,计算了翼板颤振的分叉值,并应用分布参数系统的中心不变流形定理论证了分叉周期解的稳定性。
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| 关 键 词： | 可微动力学 Hopf 分叉 中心流形 翼板颤振 |
The Hopf Bifurcation for Distributed Parameter Dynamical Systems |
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| Guo Qianrong.The Hopf Bifurcation for Distributed Parameter Dynamical Systems[J].Journal of Shanghai Jiaotong University,1989,23(2):45-52. |
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| Authors: | Guo Qianrong |
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| Institution: | Guo Qianrong |
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| Abstract: | The Hopf bifurcation for distributed parameter dynamical systems isstudied from the viewpoint of differentiable dynamics of infinite dimensions.With this theory the bifurcation values of apanel flutter are calculated.Thenthe stability of the bifurcating periodic motions are determined via the centermanifold theory for infinite dimensional systems. |
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| Keywords: | differentiable dynamics Hopf bifurcation center manifold panel flutter |
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