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基于事件函数的脉冲微分系统的数值模拟

Numerical Simulation of Impulsive Differential Systems Based on Event Function
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摘要 主要研究状态脉冲微分系统的求解算法.利用ode求解器的事件定位功能,通过定义事件函数确定系统脉冲发生时刻,并对系统状态变量进行脉冲处理;利用Matlab语言设计脉冲微分系统的数值算法,并选取不同的脉冲系统进行仿真实验. Simulation algorithms for solving impulsive differential systems were considered in this paper.By the event definition function of ode solver,the impulsive moment was definited,and by impulsive processing,state variables of systems were solved;Matlab numerical language was used to design numerial simulation algorithms of impulsive differential systems,and select different impulsive systems for simulation experiment.
作者 叶莉 党耀国 陶有德 YE Li;DANG Yao-guo;TAO You-de(College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China;College of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,China)
出处 《数学的实践与认识》 2022年第8期122-127,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金(61272465) 研究生科研创新基金(2016KYJJ31)。
关键词 脉冲微分系统 事件函数 龙格-库塔算法 数值模拟 impulsive differential systems event function Runge-Kutta algorithm numerical simulation
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  • 1陈以平.时滞微分方程中点欧拉法的渐近稳定性[J].湖北民族学院学报(自然科学版),2006,24(2):117-121. 被引量:3
  • 2Lakshmikantham V, Bainov D D, Simeonov P S. Theory of impulsive differential equations. Singapore: World Scientific, 1989.
  • 3Bainov D D, Simeonov P S. Impulsive differential eqtions: periodic solution and application. London: Longman Scientific & Technical, 1995.
  • 4Jorgensen S E, Bendoricchio G. Fundamentals of Ecological Modeling. Amsterdam: Elsevier Science B. V, 2001 : 68-73.
  • 5龚纯,王正林.Maflab语言算法程序集.北京:电子工业出版社,2008:440-471.
  • 6Davies B. Exploring chaos, theory and experiment. Reading, MA: Perseus Books, 1999 : 218-236.
  • 7Dou J W, Chen L S, Li K T. A monotone-iterative method for finding periodic solutions of an impulsive competition system on tumor-normal cell in teration. Discrete and continuous dynamical systems-series B, 2004, 4(3) : 555-562.
  • 8Tang S Y, Xiao Y N, Chen L S. Integrated pest management models and their dynamical behaviour. Bulletin of Mathematical Biology, 2005, 67:115-135.
  • 9Tang S Y, Cheke R A. State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. Journal of Mathematical Biology, 2005; 50:257-259.
  • 10毋玉芝.四阶龙格—库塔算法的C语言实现[J].焦作大学学报,2001,15(1):55-55. 被引量:9

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