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一类非线性系统极限环的存在性
  • 期刊名称：湖南大学学报, 2008, 35(7): 90-92
  • 时间：0
  • 分类：O175.12[理学—数学;理学—基础数学]
  • 作者机构：[1]湖南大学数学与计量经济学院,湖南长沙410082
  • 相关基金：国家自然科学基金资助项目（10771055）;高等学校博士学科点专项科研基金资助项目（20050532023）
  • 相关项目：右端不连续微分方程的定性理论及其应用研究
关键词： 非线性系统, 极限环, 存在性, nonlinear systems, limit cycle, existence
中文摘要：

通过类比一般非线性系统的研究方法，运用Poincare-Bendixson环域定理，对一类Liénard系统极限环的存在性进行了研究，得到了系统极限环存在性定理，并给出了应用例子．

英文摘要：

By analogying general research methods of the nonlinear systems and applying the Poincare-Bendixson ring region theorem, we have studied the existence of the limit cycles for a class of Liénard systems. We have also obtained the existence theorem of the limit cycle of the system and have given relevant examples.

同期刊论文项目
右端不连续微分方程的定性理论及其应用研究
期刊论文 46 会议论文 1 获奖 1 著作 1
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