| 以三次曲线y=a·x~3+b·x~2+c·x+d为解的三次系统 |
| |
| 引用本文： | 刘德明. 以三次曲线y=a·x~3+b·x~2+c·x+d为解的三次系统[J]. 辽宁师范大学学报(自然科学版), 1988, 0(2) |
| |
| 作者姓名： | 刘德明 |
| |
| 作者单位： | 辽宁师范大学数学系 |
| |
| 摘 要： | 本文给出了以三次曲线y=a·x~3+b·x~2+c·x+d为解的三次系统的一般形式,证明了该系统可以存在极限环,并给出了极限环存在与不存在的充分条件。
|
| 关 键 词： | 三次系统 三次曲线 极限环 |
The Cubic System with Cubic Curve Solution y=ax~3+bx~2+cx+d |
| |
| Liu Deming. The Cubic System with Cubic Curve Solution y=ax~3+bx~2+cx+d[J]. Journal of Liaoning Normal University(Natural Science Edition), 1988, 0(2) |
| |
| Authors: | Liu Deming |
| |
| Affiliation: | Liu Deming Department of mathematics,Liaoning Normal University |
| |
| Abstract: | In this paper we give the general form of the cubic system with cubic curvesolution y=ax~3+bx~2+cx+d,and we prove that this system may possess limit cvcle,and give sufficient conditions that this system possesses limit cycle and possessesno cycle. |
| |
| Keywords: | cubic system cubic curve limit cycle |
| 本文献已被 CNKI 等数据库收录！ |
