| 一类Duffing 方程的分支问题 |
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| 引用本文： | 金银来.一类Duffing 方程的分支问题[J].吉首大学学报(自然科学版),2001,22(2):50-53. |
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| 作者姓名： | 金银来 |
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| 作者单位： | ( 1.临沂师范学院数学系, 山东 临沂 276005; 2.华东师范大学数学系,上海 200062) |
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| 基金项目： | 国家自然科学基金资助项目 (10 0 710 2 2 ) |
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| 摘 要： | 运用分支的方法, 通过分析未扰系统的同宿轨和周期轨在扰动破裂以后的分支情况, 研究了一类 Duffing方程x = y , y = x- x3+y+xy 的极限环的存在性问题, 给出了产生极限环的条件.
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| 关 键 词： | Duffing方程 同宿轨 分支 极限环 |
| 文章编号： | 1007-2985(2001)02-0050-04 |
| 修稿时间： | 2001年4月25日 |
The Bifurcation Problems of a Class of Duffing Equation |
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| JIN Yin,lai.The Bifurcation Problems of a Class of Duffing Equation[J].Journal of Jishou University(Natural Science Edition),2001,22(2):50-53. |
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| Authors: | JIN Yin lai |
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| Institution: | ( 1. Department of Mathematics, Linyi Teachers' University, Linyi 276005, Shandong China; 2. Department of Mathematics, East China Normal University, Shanghai 200062, China) |
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| Abstract: | In this paper, we studied the exis tence problems of limit cycles of a class of Duffing equation x= y,y= x+y+xy. The bifurcation method was used to analyze the bifurcation after the homoclinic and periodic orbi t of the unperturbed sys tem was perturbed to break. The condi tions were given to ensure the generation of limit cycles. |
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| Keywords: | duffing equation homoclinic orbit bifurcation limit cycle |
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