害虫治理与半连续动力系统几何理论 |
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引用本文: | 陈兰荪.害虫治理与半连续动力系统几何理论[J].吉林林学院学报,2011(1):1-9. |
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作者姓名: | 陈兰荪 |
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作者单位: | [1]中国科学院数学与系统科学研究院,北京100080 [2]福建师范大学闽南科技学院,福建泉州362332 |
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摘 要: | 从害虫治理的实际问题出发,建立了一类脉冲状态反馈控制害虫的防治模型.提出了半连续动力系统几何理论,并应用这一理论证明了该模型至少存在一个阶1周期解.结合具体实例,介绍了阶1同宿分支和脉冲环面动力系统的基本理论与分析方法.
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关 键 词: | 半连续动力系统 脉冲微分方程 害虫治理 阶1周期解 |
Pest Control and Geometric Theory of Semi-Continuous Dynamical System |
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Authors: | CHEN Lan-sun |
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Institution: | CHEN Lan-sun,(1.Academy of Mathematics and Systems Science,Chinese Academy of Science,Beijing 100080,China; 2.Minnan Science and Technology Institute,Fujian Normal University,Quanzhou 362332,China) |
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Abstract: | Starting from practical problem of the pest control,a class of pest prevention model with impulsive feedback control is established.The geometric theory of semi-continuous dynamical systems is presented,and by applying this theory,it is proved for this model to have at least one order-one periodic solution.With the specific instance,the basic theory and analyzing method of the order-one homoclinic bifurcation and pulse torus power system are introduced. |
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Keywords: | semi-continuous dynamical systems impulsive differential equations pest control order-one periodic solution |
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