| 一类二次系统存在Poincaré分枝的条件 |
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| 引用本文： | 陈孝秋.一类二次系统存在Poincaré分枝的条件[J].汕头大学学报(自然科学版),1987(1). |
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| 作者姓名： | 陈孝秋 |
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| 作者单位： | 汕头大学数学系 |
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| 摘 要： | 本文研究所论系统在二次自治扰动下产生两个或一个极限环的条件,并研究当参数变化时极限环的极限性质,从而否定了二次微分系统大概不存在Poincare分枝的猜测.
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| 关 键 词： | 二次微分系统 极限环 Poincaré分枝 |
Poincare Bifurcations of a Class of Plane Quadratic Systems |
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| Chen Xiaoqiu.Poincare Bifurcations of a Class of Plane Quadratic Systems[J].Journal of Shantou University(Natural Science Edition),1987(1). |
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| Authors: | Chen Xiaoqiu |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper, we give some sufficient conditions producing Poincare bifurcations from systems These results have negated the guess that the plane quadratic systems can not produce Poincare bifurcation. |
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| Keywords: | Plane quadratic system Limit cycle Poincare bifurcation |
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