三次Kolmogorov系统的二次代数曲线轨线的判定及分类  

Classification and Criteria of Quadratic Trajectory of Cubic Kolmogorov System

作　　者：张琼[1] 

机构地区：[1]军事经济学院基础部,湖北武汉430035

出　　处：《北华大学学报（自然科学版）》2013年第4期389-392,共4页Journal of Beihua University（Natural Science）

摘　　要：研究了三次Kolmogorov模型的二次代数曲线解的判定及分类.利用具体的非奇异线性变换,将二次曲线化简,同时将方程作了相应的变换,新方程的二次曲线轨线等价于原方程的二次曲线轨线.由于计算量比较大,采用Mathematica计算机符号运算系统使问题得到比较满意的结果.The classification and criteria of quadratic trajectory of cubic Kolmogorov model is studied. Use of specific non-singular linear transformation, the equation is also shifted relevantly. The new equation of the quadratic trajectory curve is equivalent to the original equation of the conic trajectory. Because of the large amount of calculation, this problem gets a satisfying result by means of taking Mathematica computer symbol calculation system.

关 键 词：KOLMOGOROV系统 二次代数曲线轨线 判定 分类 

分 类 号：O231.9[理学—运筹学与控制论]