| Takens—Bogdanov分岐点的分裂迭代算法 |
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| 引用本文： | 叶瑞松. Takens—Bogdanov分岐点的分裂迭代算法[J]. 应用数学, 2001, 14(3): 87-91 |
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| 作者姓名： | 叶瑞松 |
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| 作者单位： | 汕头大学数学研究所, |
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| 摘 要： | 本文构造分裂迭代算法用于计算Takens-Bogdanov分岐点，该方法将减少计算的工作量和占用的内存，可以调节的速度线性收敛，并且可以求得Takens-Bogdanov分岐点处fx^及fx^0的广义零特征向量，数值计算说明了算法的有效性。
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| 关 键 词： | Takens－Bogdanov分岐点 分裂迭代算法 扩张系统 线性收敛 非线性方程 发展方程 |
| 文章编号： | 1001-9847(2001)03-0087-05 |
| 修稿时间： | 2000-01-02 |
A Splitting Iteration Method for DetectingTakens-Bogdanov Bifurcation Points |
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| YE Rui-song. A Splitting Iteration Method for DetectingTakens-Bogdanov Bifurcation Points[J]. Mathematica Applicata, 2001, 14(3): 87-91 |
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| Authors: | YE Rui-song |
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| Abstract: | A splitting iteration method is proposed to compute Takens -B ogdnov bifurcation points. The method could reduce the computational work and st orage, and could converge linearly with an adjustable speed. Futhermore it could solve the generalized null eigenvectors of f x,f* x at the Takens-Bjog danov bifurcation point. Numerical computation shows that the proposed method is efficient. |
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| Keywords: | Takens-Bogdanov bifurcation point Splitting iteration meth od Extended system |
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