On a cubic system with eight limit cycles
文献类型：期刊论文
| 作者 | Ning, Shucheng3; Xia, Bican1,2; Zheng, Zhiming4 |
| 刊名 | BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN
 |
| 出版日期 | 2007-10-01 |
| 卷号 | 14期号:4页码:595-605 |
| 关键词 | polynomial differential system limit cycle symbolic computation real solution |
| ISSN号 | 1370-1444 |
| 英文摘要 | For a famous cubic system given by James and Lloyd, there exist some sufficient conditions such that the system has eight limit cycles. In this paper, we try to derive by computers the necessary and sufficient conditions for this system to have eight limit cycles. In order to find the symbolic real solutions to semi-algebraic systems where polynomials are Lyapunov quantities, we transform the equations into triangular systems by pseudo-division, locate the real solutions of the last equation and verify the inequalities by the Budan-Fourier theorem. The necessary and sufficient conditions for the system to have eight limit cycles are given under a reasonable limitation. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000252974100001 |
| 出版者 | BELGIAN MATHEMATICAL SOC TRIOMPHE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4739]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xia, Bican |
| 作者单位 | 1.Peking Univ, LMAM, Beijing 100871, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 4.Beihang Univ, Beijing 100083, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ning, Shucheng,Xia, Bican,Zheng, Zhiming. On a cubic system with eight limit cycles[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN,2007,14(4):595-605. |
| APA | Ning, Shucheng,Xia, Bican,&Zheng, Zhiming.(2007).On a cubic system with eight limit cycles.BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN,14(4),595-605. |
| MLA | Ning, Shucheng,et al."On a cubic system with eight limit cycles".BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN 14.4(2007):595-605. |
入库方式： OAI收割
来源：数学与系统科学研究院
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