| 一类中心型半连续动力系统的周期解 |
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| 引用本文： | 郭红建,陈兰荪,宋新宇. 一类中心型半连续动力系统的周期解[J]. 生物数学学报, 2012, 0(1): 109-119 |
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| 作者姓名： | 郭红建 陈兰荪 宋新宇 |
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| 作者单位： | [1]信阳师范学院,河南信阳464000 [2]中国科学院数学与系统科学研究院,北京100080 [3]福建师范大学闽南科技学院,福建泉州362332 |
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| 基金项目： | 国家自然科学基金（11171284）; 河南省高校科技创新团队支持计划（2010IRTSTHN006）; 河南省科技创新杰出人才支持计划（104200510011）; 河南省高校青年骨干教师资助计划（2010GGJS-104） |
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| 摘 要： | 讨论了一类中心型半连续动力系统的阶1周期解和阶2周期解的存在性、个数及其稳定性,给出该中心型系统存在唯一、两个、无穷多个阶1周期解和阶2周期解的条件,并给出了相应理论结果的数值模拟.
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| 关 键 词： | 半连续动力系统 阶k(k≥1)周期解 存在性 状态反馈 脉冲微分方程 |
The Periodic Solution of a Class of Semi-Continuous Dynamical System with Center Equilibrium |
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| GUO Hong-jian,CHEN Lan-sun,＇,SONG Xin-yu. The Periodic Solution of a Class of Semi-Continuous Dynamical System with Center Equilibrium[J]. Journal of Biomathematics, 2012, 0(1): 109-119 |
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| Authors: | GUO Hong-jian CHEN Lan-sun ＇ SONG Xin-yu |
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| Affiliation: | 1 (1 College of Mathematics and Information Science, Xinyang Normal University, Xinyang Henan 464000 China) (2 Academy of Mathematics and Systems SeieTzce, Chinese Academy of Science, Beijing 100080 China) (3 Minnan Science and Technology Institute, Fujian Normal University, Quanzhou Fujian 362332 China) |
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| Abstract: | The paper discussed a class of semi-continuous dynamical system with cen- ter equilibrium and the existences , number and stability of order-lperiodic solution and order2periodic solution. The conditions that the system has unique, two, infinite order-1 periodic solutions and order-2 periodic solution are given, respectively, and the corresponding numericalsimulations are provided to verify the results. |
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| Keywords: | Semi-continuous dynamical system periodic solution Existence Impulsive differential equation |
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