| A NOTE ON THE STABILITY OF A CLASS OF DEGENERATE PLANAR CRITICAL POINTS |
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| 作者姓名： | Tusen HUANG Qi ZHANG |
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| 作者单位： | [1]Institute of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China. [2]Department of Mathematics, Nanjing University, Nanjing 210093, China. |
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| 基金项目： | The work is supported by Zhejiang Provincial Natural Science Foundations （No. Y604359） and National Natural Science Foundation of China （No. 10371123, 10471130）. |
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| 摘 要： | A computable expression of the asymptotic expansion of the return map for a degenerate singular point of a class of planar differential system is given, and hence the stability and the type of the singular point can be decided. These results generalize the corresponding results in Nonlinearity, 13 （2000）, p.709].
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| 关 键 词： | 孤立奇异点 单值奇异点 特征指示 返回图 稳定性 |
| 修稿时间： | 2006-01-11 |
A Note on the Stability of a Class of Degenerate Planar Critical Points |
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| Tusen HUANG Qi ZHANG.A NOTE ON THE STABILITY OF A CLASS OF DEGENERATE PLANAR CRITICAL POINTS[J].Journal of Systems Science and Complexity,2007,20(3):461-469. |
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| Authors: | Tusen Huang Qi Zhang |
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| Institution: | (1) Institute of Mathematics, Zhejiang Sci-Tech University, Hangzhou, 310018, China;(2) Department of Mathematics, Nanjing University, Nanjing, 210093, China |
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| Abstract: | A computable expression of the asymptotic expansion of the return map for a degenerate singular point of a class of planar
differential system is given, and hence the stability and the type of the singular point can be decided. These results generalize
the corresponding results in Nonlinearity, 13 (2000), p.709].
The work is supported by Zhejiang Provincial Natural Science Foundations (No. Y604359) and National Natural Science Foundation
of China (No. 10371123, 10471130). |
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| Keywords: | Isolated singular point monodromy singular point characteristic direction return map stability |
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