| 广义中心-细鞍点的若干公式 |
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| 引用本文： | 万维明,迟晓恒. 广义中心-细鞍点的若干公式[J]. 东北数学, 2002, 18(1) |
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| 作者姓名： | 万维明 迟晓恒 |
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| 作者单位： | Department of Basic &: Social Science，Dalian Railway Institute，Dalian，Liaoning，116028 |
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| 摘 要： | In this paper, a problem of center-weak focus of a general system of degree n is transformed into a problem of generalized center-weak saddle. It offers: (1) the calculating formula of the saddle values of the former 4 orders in the general system of degree three; (2) some calculating formulae of the saddle values in the general homogeneous system of degree n.The problem of center-focus(saddle) plays an important role in the qualitative theory of ordinary differential equations. However, since the calculations are difficult, the results have not been satisfactory. On the basis of the author's work, Northeast. Math. J., 13(4)(1997), 487-494, the paper offers some calculating formulae of the saddle values.
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The Formula of Generalized Center-Weak Saddle |
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| WAN Weiming and CHI Xiaoheng. The Formula of Generalized Center-Weak Saddle[J]. Northeastern Mathematical Journal, 2002, 18(1) |
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| Authors: | WAN Weiming and CHI Xiaoheng |
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| Abstract: | In this paper, a problem of center-weak focus of a general system of degree n is transformed into a problem of generalized center-weak saddle. It offers: (1) the calculating formula of the saddle values of the former 4 orders in the general system of degree three; (2) some calculating formulae of the saddle values in the general homogeneous system of degree n.The problem of center-focus(saddle) plays an important role in the qualitative theory of ordinary differential equations. However, since the calculations are difficult, the results have not been satisfactory. On the basis of the author's work, Northeast. Math. J., 13(4)(1997), 487-494, the paper offers some calculating formulae of the saddle values. |
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| Keywords: | Center Focus Saddle Homogeneous system. |
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