| 一类具两条不连续相交线的平面系统的闭轨 |
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| 引用本文： | 熊佩英,黄立宏.一类具两条不连续相交线的平面系统的闭轨[J].纯粹数学与应用数学,2011,27(1):13-18. |
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| 作者姓名： | 熊佩英 黄立宏 |
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| 作者单位： | 熊佩英,XIONG Pei-ying(湖南大学数学与计量经济学院,湖南,长沙,410082;湖南城市学院数学与计算科学系,湖南,益阳,413049);黄立宏,HUANG Li-hong(湖南大学数学与计量经济学院,湖南,长沙,410082) |
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| 基金项目： | 国家自然科学基金，湖南省应用基础研究计划重点项目，湖南省教育厅项目 |
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| 摘 要： | 研究了一类具两条不连续相交线的平面系统的闭轨.利用微分包含理论和点变换的方法,获得了一些有趣的结果,包括滑模解,同宿解和闭轨的存在性.同时给出了闭轨存在的必要条件.
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| 关 键 词： | 平面系统 闭轨 同宿解 微分包含 |
Closed trajectory of a class of planar systems with two intersecting lines of discontinuity |
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| XIONG Pei-ying,HUANG Li-hong.Closed trajectory of a class of planar systems with two intersecting lines of discontinuity[J].Pure and Applied Mathematics,2011,27(1):13-18. |
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| Authors: | XIONG Pei-ying HUANG Li-hong |
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| Institution: | 1(1. College of Mathematics and Econometrics, Hunan University, Changsha 410082 , China;2. Department of Mathematics and Computer Science, Hunan City University, Yiyang 413049, China) |
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| Abstract: | Closed trajectory of a class of planar systems with two intersecting lines of discontinuity are investigated. Using the theory of differential inclusions and the method of point transformation, some interesting results are provided including existence of sliding motion solutions, homoclinic solution and closed trajectories. Synchronously we give necessary conditions for the existence of closed trajectories. |
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| Keywords: | planar system closed trajectory homoclinic solution differential inclusion |
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