| 分支问题的有限决定性和万有开折 |
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| 引用本文： | 邹建成.分支问题的有限决定性和万有开折[J].数学学报,1998,41(4):817-822. |
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| 作者姓名： | 邹建成 |
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| 作者单位： | 北方工业大学基础学院 |
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| 基金项目： | 国家自然科学基金,北方工业大学科研基金 |
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| 摘 要： | 本文给出了分支问题有限决定的一些充分必要条件，并用横切性条件刻划了分支问题的万有开折，证明了分支问题的万有开折与无穷小稳定是等价的
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| 关 键 词： | 有限决定，万有开折，分支问题 |
Finite Determination and Universal Unfoldings of Bifurcation Problems |
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| Zou Jiancheng.Finite Determination and Universal Unfoldings of Bifurcation Problems[J].Acta Mathematica Sinica,1998,41(4):817-822. |
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| Authors: | Zou Jiancheng |
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| Abstract: | Some sufficient and necessary conditions for a bifurcation problem to be finite determined are given. Transversality condition is used to characterize the universal unfoldings of bifurcation problems. The equivalence of the infinitesimally stability and the universality of bifurcation problems is proved. |
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| Keywords: | finite determination universal unfolding bifurcation problem |
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