| 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].北华大学学报(自然科学版),2011,12(1):1-9. |
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| 作者姓名： | 陈兰荪 |
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| 作者单位： | 中国科学院数学与系统科学研究院,北京,100080;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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| CHEN Lan-sun.Pest Control and Geometric Theory of Semi-Continuous Dynamical System[J].Journal of Beihua University(Natural Science),2011,12(1):1-9. |
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| Authors: | CHEN Lan-sun |
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| Institution: | CHEN Lan-sun1,2(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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