| 计算对称破缺Takens-Bogdanov点的有效方法 |
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| 引用本文： | 叶瑞松. 计算对称破缺Takens-Bogdanov点的有效方法[J]. 应用数学与计算数学学报, 1999, 0(1) |
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| 作者姓名： | 叶瑞松 |
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| 作者单位： | 广东省数字图象处理技术重点实验室 汕头大学数学研究所，汕头，515063 |
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| 基金项目： | 广东省自然科学基金资助项目 |
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| 摘 要： | 我们将提出一种直接方法来计算对称破缺Takens-Bogdanov分歧点,这种方法构造了不引进零向量作为变量的小扩张系统,从而减少了计算量并节约了内存,数值例子的计算成功地说明了方法的有效性。
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| 关 键 词： | 对称破缺 Takens-Bogdanov点 扩张系统 |
An Efficient Approach for Solving Symmetry-Breaking Takens-Bogdanov Points |
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| RUISONG YE. An Efficient Approach for Solving Symmetry-Breaking Takens-Bogdanov Points[J]. Communication on Applied Mathematics and Computation, 1999, 0(1) |
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| Authors: | RUISONG YE |
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| Abstract: | We will consider an extension of a direct method due to Griewank and Beddien for the computation of symuietry-btenking Takens-Bogdanov points. The method eonld prodnee a small extruded system which cloes not introdnce the null vectors as variables. and therefore could reduce the computational effert and storage. One unmerical example is presented to demonstrate that the method is efficient. |
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| Keywords: | syminetry-breaking.Takens-Bogdanov point extended system. |
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