Numerical Calculation Of Complex Differential Equation Systems

Complex systems are composed of a class of moderate number of subsystems,and these subsystems are intelligent and adaptive,and can make behavior and decision based on local information.Complex system not only points out the development direction of 21 st century in science and technology,but also provides us with a new world view.Different from simple systems and stochastic systems,the organization and behavior of complex systems are more complex.It is necessary to use computer simulation technology to reveal the dynamic evolution process of the system and to predict the organization and future behavior of the system.Therefore,on the basis of deeply studying the characteristics of various complex systems,using the method of combining qualitative analysis with quantitative analysis,this paper designs the algorithms for solving state impulsive differential equation system,periodic impulsive differential equation system,delay differential equation system and repairable differential equation system respectively,and corresponding simulation examples are given.Simulation results show that these algorithms are feasible,and have certain practicability and generality.