| 一类非线性自治系统的极限环研究 |
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| 引用本文： | 张金波,刘蕊洁,刘锐.一类非线性自治系统的极限环研究[J].温州大学学报(社会科学版),2009(1):5-8. |
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| 作者姓名： | 张金波 刘蕊洁 刘锐 |
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| 作者单位： | 兰州交通大学数理与软件工程学院,甘肃兰州730070 |
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| 摘 要： | 研究了一类非线性自治系统的极限环问题，应用常微分方程定性理论，对该系统的平衡点进行了分析，得到了极限环存在唯一性的充分条件．
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| 关 键 词： | 非线性自治系统 平衡点 极限环 唯一性 |
Study on Limit Cycles for a Class of Nonlinear Autonomous System |
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| ZHANG Jinbo,LIU Rui.Study on Limit Cycles for a Class of Nonlinear Autonomous System[J].Journal of Wenzhou University Natural Science,2009(1):5-8. |
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| Authors: | ZHANG Jinbo LIU Rui |
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| Institution: | jie, LIU Rui (School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou, China 730070) |
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| Abstract: | This paper focuses on the limit cycles for a class of nonlinear autonomous system, by using qualitative theory of ordinary differential equations, the equilibrium points and the sufficient conditions for the existence and uniqueness of limit cycle is analyzed |
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| Keywords: | Nonlinear autonomous system Equilibrium point Limit cycle Uniqueness |
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