| 三次系统的蚶形曲线分界线环(英文) |
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| 引用本文： | 沈洁
,沈伯骞.三次系统的蚶形曲线分界线环(英文)[J].Annals of Differential Equations,2002(1). |
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| 作者姓名： | 沈洁 沈伯骞 |
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| 作者单位： | Dept. of Math.，Liaoning Normal University，Dalian 116029 |
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| 摘 要： | The fol1owing eight kinds of algebraic curves al1 can be the algebraic se-paratrix cycle containing focus for quadratic system, they are the lune fOr-med by hyperbola and equatorial arc'], the entire parabola'], the heterocIinicorbits formed by parabola and straight lineI3], the non-return mapping sepa-ratrix cycle formed by entire e1lipse'], the homoc1inic orbits of cubic curvey' -- 4xs + 3x -- 1 = 0'], the homoc1inic orbits or the non-return mappingseparatrix cycle forrned by quartic cur…
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ON THE SEPARATRIX CYCLE FOR CUBIC SYSTEM IN TYPE OF CLAM SHAPED CURVE |
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| Shen Jie,& Shen Boqian.ON THE SEPARATRIX CYCLE FOR CUBIC SYSTEM IN TYPE OF CLAM SHAPED CURVE[J].微分方程年刊(英文版),2002(1). |
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| Authors: | Shen Jie & Shen Boqian |
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| Abstract: | A sufficient and necessary condition of the existence of clam shaped curve solution for the cubic system is given in this paper. Again the author gives a sufficient and necessary condition of the existence of clam shaped curve separatrix cycle for a special type of cubic system and obtains their accurate domain in parameter space. |
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| Keywords: | clam shaped curve separatrix cycle Branch surface |
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