一类共振微分系统的可积条件  

Integrability Conditions for a Class Resonance Differential Systems

作　　者：吴海涛[1,2] 王勤龙[2] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004 [2]长江大学信息与数学学院,湖北荆州434023

出　　处：《桂林电子科技大学学报》2009年第2期135-137,共3页Journal of Guilin University of Electronic Technology

基　　金：广西区研究生创新计划项目(2007105950701M04)

摘　　要：基于常微分方程的可积性,研究了一类共振微分系统的可积条件,给出了计算广义奇点量的代数公式算法,该算法很容易用计算机代数系统来实现。通过计算该系统奇点量的代数递推公式,可以得出该系统前20个奇点量的表达式,继而推导出系统可积的一个充分必要条件。Based on integrability of differential equation, the integrability of a class resonance differential systems is studied. Algebraic recursive formulas for computing generalized singular point quantities are given and the algebraic is easy to realize with computer algebraic system. Firstly, the first 20th singular point values are given by algebraic recursive formulas for computing generalized singular point quantities. Then, a necessary and sufficient condition for systems integrability is derived.

关 键 词：广义焦点量 推导公式 共振系统 

分 类 号：O175.12[理学—数学]