| 用内积法研究Hopf分岔系统的规范形 |
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| 引用本文： | 丁玉梅,张琪昌.用内积法研究Hopf分岔系统的规范形[J].天津师范大学学报(自然科学版),2006,26(2):38-40. |
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| 作者姓名： | 丁玉梅 张琪昌 |
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| 作者单位： | 1. 天津大学,机械工程学院,天津,300072;天津科技大学,理学院,天津,300222
2. 天津大学,机械工程学院,天津,300072 |
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| 摘 要： | 在动力系统的规范形理论基础上，用内积法研究了Hopf分岔系统的规范形，对矩阵表示法进行了改进，研究了Hopf分岔系统的规范形系数与原系统的关系，得出比传统规范形更简化的一个表达式。
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| 关 键 词： | Hopf 分岔 规范形 内积法 |
| 文章编号： | 1671-1114(2006)02-0038-03 |
| 修稿时间： | 2006年2月5日 |
Study on the Normal Form of Hopf Bifurcation System with the Inner Product Method |
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| DING Yu-mei,ZHANG Qi-chang.Study on the Normal Form of Hopf Bifurcation System with the Inner Product Method[J].Journal of Tianjin Normal University(Natural Science Edition),2006,26(2):38-40. |
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| Authors: | DING Yu-mei ZHANG Qi-chang |
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| Abstract: | The normal form of Hopf bifurcation system was studied by normal form theory of dynamic system.The higher order normal form of Hopf bifurcation system was computed with the inner product method,and the method of matrix representation was extended.It was obtained that a normal form of Hopf bifurcation system was simpler than the conventional normal form. |
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| Keywords: | Hopf bifurcation normal form inner product method |
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