| 几类非线性微分系统极限环的存在性和唯一性 |
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| 引用本文： | 王以忠,周毓荣. 几类非线性微分系统极限环的存在性和唯一性[J]. 系统科学与数学, 2006, 26(3): 335-341 |
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| 作者姓名： | 王以忠 周毓荣 |
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| 作者单位： | 1. 山东科技大学工程学院,泰安,271021
2. 山东科技大学信息科学与工程学院,泰安,271019 |
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| 摘 要： | 给出系统(E1),(E2)和(E3)等非线性微分系统存在闭轨的一些新的判定条件,推广了非线性微分系统极限环的存在性和唯一性许多这方面研究的结果,并大大改进了它们的某些条件．在这个基础上,还给出了系统(E1)和(E2)恰有一个极限环的一组充分条件．
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| 关 键 词： | 极限环 轨线 极限集 奇点 |
| 修稿时间： | 2003-09-18 |
The Existence And Uniqueness Of Limit Cycles For Certain Nonlinear Differential Systems |
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| Wang Yizhong,Zhou Yurong. The Existence And Uniqueness Of Limit Cycles For Certain Nonlinear Differential Systems[J]. Journal of Systems Science and Mathematical Sciences, 2006, 26(3): 335-341 |
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| Authors: | Wang Yizhong Zhou Yurong |
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| Affiliation: | (1) Engineering College, Shandong University of Science and Technology, Taian 271021;(2)Department of Applied Mathematics, Shandong University of Science and Technology,Taian 271019 |
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| Abstract: | In this paper, we gave some new sufficient conditions of existence and uniqueness for certain nonlinear differential systems (E1),(E2) and (E3). Many known results of the existence and uniqueness of limit cycles for nonlinear differentinal systems are generalized and their conditions are improved greatly. |
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| Keywords: | Limit cycle orbit limit set singular point |
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