Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System
文献类型：期刊论文
| 作者 | Huang, Bo1; Niu, Wei2,3; Xie, Shaofen4 |
| 刊名 | SYMMETRY-BASEL
 |
| 出版日期 | 2022-05-01 |
| 卷号 | 14期号:5页码:16 |
| 关键词 | averaging method limit cycle symbolic computation zero-Hopf bifurcation |
| DOI | 10.3390/sym14051036 |
| 英文摘要 | This article first studies the stability conditions of a Chua system depending on six parameters. After, using the averaging method, as well as the methods of the Grobner basis and real solution classification, we provide sufficient conditions for the existence of three limit cycles bifurcating from a zero-Hopf equilibrium of the Chua system. As we know, this last phenomena is first found. Some examples are presented to verify the established results. |
| 资助项目 | National Natural Science Foundation of China[12101032] ; National Natural Science Foundation of China[12131004] ; National Natural Science Foundation of China[11601023] ; Beijing Natural Science Foundation[1212005] |
| WOS研究方向 | Science & Technology - Other Topics |
| 语种 | 英语 |
| WOS记录号 | WOS:000801537500001 |
| 出版者 | MDPI |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61430]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xie, Shaofen |
| 作者单位 | 1.Beihang Univ, LMIB Sch Math Sci, Beijing 100191, Peoples R China 2.Beihang Univ, Ecole Cent Pekin, Beijing 100191, Peoples R China 3.Beihang Hangzhou Innovat Inst Yuhang, Hangzhou 310051, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Bo,Niu, Wei,Xie, Shaofen. Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System[J]. SYMMETRY-BASEL,2022,14(5):16. |
| APA | Huang, Bo,Niu, Wei,&Xie, Shaofen.(2022).Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System.SYMMETRY-BASEL,14(5),16. |
| MLA | Huang, Bo,et al."Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System".SYMMETRY-BASEL 14.5(2022):16. |
入库方式： OAI收割
来源：数学与系统科学研究院
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