间断动力学系统多媒体仿真  

The Multimedia Simulation of Dynamics System with Discontinuous

作　　者：常君明[1] 任琼[1] 许璐[1] 许中元 

机构地区：[1]江汉大学数学与计算机学院,湖北武汉430056

出　　处：《数学的实践与认识》2017年第22期141-146,共6页Mathematics in Practice and Theory

基　　金：湖北省建设科技计划项目(2016);湖北省教育厅人文社会科学研究项目(2016)

摘　　要：研究了常微分方程组右函数间断的问题,讨论了间断处理算法的基本思想与关键因素,构造了合适工程计算的速度、精度、稳定性相协调的实用间断处理算法.遵循建模-仿真-表现一体化的多媒体仿真方法,将仿真实验所产生的信息和数据转变成为被感受的场景、图示和过程,直观展现了间断系统内在运动规律和外在表现形式.仿真实验的结果表明该方法是有效可行的.This paper researches the right function＆#39;s discontinuous problem of ordinary differential equations elaborates the basic idea and the key factors of the discontinuous processing algorithm and constructs the practical discontinuous processing algorithm coordinated in velocity Precision and stability in order to meet engineering calculations This paper follows the multimedia simulation method：modelingsimulation-manifestation of integration,transforms the information and data produced by the simulation experiments into the scene,diagram and process that can be felt,and intuitively shows inherent movement law and external manifestation of the discontinuous system.The results of simulation experiments show that this algorithm is effective and feasible.

关 键 词：间断处理 常微分方程 多媒体仿真 

分 类 号：O175[理学—数学] TP391.9[理学—基础数学]