| 具有状态反馈脉冲控制的种群互惠动力系统的研究 |
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| 引用本文： | 黄明湛,宋新宇,郭红建,孟磊.具有状态反馈脉冲控制的种群互惠动力系统的研究[J].系统科学与数学,2012,32(3):265-276. |
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| 作者姓名： | 黄明湛 宋新宇 郭红建 孟磊 |
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| 作者单位： | 信阳师范学院数学与信息科学学院,信阳,464000 |
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| 基金项目： | 国家自然科学基金，河南省科技创新杰出人才支持计划，河南省高校科技创新团队支持计划，河南省高校青年骨干教师资助计划(2010GGJS-104)资助课题 |
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| 摘 要： | 研究具有状态反馈脉冲控制的种群互惠动力系统.首先利用微分方程几何理论和后继函数的方法得到一般系统阶1周期解的存在条件;然后研究了一类特殊系统,说明了该系统在一定条件下存在唯一的阶1周期解,并且给出了该阶1周期解轨道渐近稳定的条什,此外还探讨了该系统阶2周期解的存在性问题.
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| 关 键 词： | 半连续动力系统 互惠系统 周期解与稳定性 |
STUDY ON SPECIES COOPERATIVE SYSTEMS WITH IMPULSIVE STATE FEEDBACK CONTROL |
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| HUANG Mingzhan
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SONG Xinyu
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GUO Hongjian
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MENG Lei.STUDY ON SPECIES COOPERATIVE SYSTEMS WITH IMPULSIVE STATE FEEDBACK CONTROL[J].Journal of Systems Science and Mathematical Sciences,2012,32(3):265-276. |
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| Authors: | HUANG Mingzhan SONG Xinyu GUO Hongjian MENG Lei |
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| Institution: | (College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000) |
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| Abstract: | In this paper,we investigate species cooperative systems with impulsive state feedback control.First,we get the sufficient condition for the existence of the order 1 periodic solutions for the usual species cooperative system by using differential equation geometry theory and the method of successor functions.Then,we analyze a particular species cooperative system with impulsive state feedback control,and show that it has a unique order 1 periodic solution which is orbitally asymptotically stable under some conditions.Finally,we obtain the existence of the order 2 periodic solution of this system. |
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| Keywords: | Semi-continuous dynamical system cooperative systems periodic solution and stability |
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