节点文献
一类多项式系统中心焦点判定问题的研究
Study of center focus decision problem for a type of polynomial system
【摘要】 中心焦点判定是微分方程定性理论的重要组成部分之一.本文根据后继函数法,引入焦点量的一种递推计算方法,对一类多项式系统利用M athem atica软件,求得其焦点量.并以此讨论了原点为中心的情况,给出原点为中心的判定条件.
【Abstract】 The center focus decision problem is an important part of the differential equation theory.A method to calculate focus value is introduced by using the means of successor function, and the focus value for a type of polynomial system is given with the aid of the computer algebra tool(Mathmatica).By the way,the condition that the original point is the center is analyzed and the center focus decision conditions is given.
【关键词】 焦点量;
中心;
Mathematica软件;
Poincare对称;
【Key words】 focus value; center; Mathematica; Poincare symmetry principle;
【Key words】 focus value; center; Mathematica; Poincare symmetry principle;
【基金】 国家自然科学基金项目(50375107,10472077);天津市应用基础研究重点项目(013604611)
- 【文献出处】 天津工业大学学报 ,Journal of Tianjin Polytechnic University , 编辑部邮箱 ,2006年06期
- 【分类号】O175.12
- 【被引频次】4
- 【下载频次】124