Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system
文献类型：期刊论文
| 作者 | Zheng, ZH ; Chen, GR
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2006-03-01 |
| 卷号 | 315期号:1页码:106-119 |
| 关键词 | heteroclinic orbit invariant set behavior of trajectory Shil'nikov map |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2005.09.087 |
| 英文摘要 | In this paper, the existence of heteroclinic orbits of.Shil'nikov type in a three-dimensional quadratic autonomous system is proved. Four heteroclinic orbits and four critical points together constitute two cycles simultaneously. The dynamical behaviors of the system are also studied. (c) 2005 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000235104500009 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2530]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Chen, GR |
| 作者单位 | 1.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zheng, ZH,Chen, GR. Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2006,315(1):106-119. |
| APA | Zheng, ZH,&Chen, GR.(2006).Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,315(1),106-119. |
| MLA | Zheng, ZH,et al."Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 315.1(2006):106-119. |
入库方式： OAI收割
来源：数学与系统科学研究院
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