| 关于非线性机床再生颤振的Hopf分支 |
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| 引用本文： | 伍炯宇. 关于非线性机床再生颤振的Hopf分支[J]. 四川大学学报(自然科学版), 1992, 29(3): 331-338 |
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| 作者姓名： | 伍炯宇 |
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| 作者单位： | 四川大学数学系 |
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| 摘 要： | 本文讨论机床再生颤振的方程变形后的方程在参数空间(a,b,c)中周期分支的情况.给出分支曲面的轮廓,还给出在原点邻域内周期解和周期的近似表达式.
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| 关 键 词： | 再生颤动方程 Hopf分支 机床 |
ON THE HOPF BIFURCATION OF THE NONLINEAR REGENERATIVE TREMOR OF A MACHINETOOL |
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| Wu Jiongyu. ON THE HOPF BIFURCATION OF THE NONLINEAR REGENERATIVE TREMOR OF A MACHINETOOL[J]. Journal of Sichuan University (Natural Science Edition), 1992, 29(3): 331-338 |
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| Authors: | Wu Jiongyu |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper, the equationis discussed, this equation is the another form of the tremor equation of the machine toolis discussed. The periodic bifurcation in the parametric space (a, b, c) is considered (all the cocfficients are nonncgative.and b>c.).The sketch of the periodically bifurcat surface in the parametric space (a,b,c) and the locally approximate expressions of the periodic solution and its period in the neighbourhood of the original point are given. |
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| Keywords: | regenerative tremor equation periodic solution Hopf bifurcation bifurcate surface. |
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