CAJ | 학술논문

文章将基于非线性兰彻斯特方程的信息化战争模型转化为等价形式的数学模型，在一定区域内，讨论了该数学模型的奇点及其类型，并得到了模型的解的存在唯一性、相轨线的唯一性及其满足的方程。在相轨线方程及其唯一性的基础上，得到了预测战斗结局的判定定理，并进行了算例分析。结果表明，相轨线分析是研究该类兰彻斯特方程的行之有效的方法，可用来分析作战进程和预测战斗结局。
문장장기우비선성란철사특방정적신식화전쟁모형전화위등개형식적수학모형，재일정구역내，토론료해수학모형적기점급기류형，병득도료모형적해적존재유일성、상궤선적유일성급기만족적방정。재상궤선방정급기유일성적기출상，득도료예측전두결국적판정정리，병진행료산례분석。결과표명，상궤선분석시연구해류란철사특방정적행지유효적방법，가용래분석작전진정화예측전두결국。
In this paper ,the information warfare models based on nonlinear Lanchester equations are transformed into an equivalent mathematical model ,and the odd point and its style of the proposed mathematical model are discussed in the given area .Further ,the existence and uniqueness of solution for the model are obtained ,as well as the uniqueness of its phase trajectory and the equation that the phase trajectory satisfies .On the basis of the phase trajectory equation and its uniqueness ,the judg‐ment theorem for predicting battle ending is obtained and proved .Finally ,the example analysis is done and the results show that the phase trajectory analysis is an effective method to study such Lan‐chester equation .Consequently ,the phase trajectory can be used to analyze operational process and predict battle ending .