Complex dynamical behaviors in discrete-time recurrent neural networks with asymmetric connection matrix
文献类型：期刊论文
| 作者 | Zhou, Zhan; Wang, Jinliang; Jing, Zhujun; Wang, Ruqi |
| 刊名 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
 |
| 出版日期 | 2006-08-01 |
| 卷号 | 16期号:8页码:2221-2233 |
| 关键词 | neural networks asymptotical stability bifurcations chaos attracting set trapping region |
| ISSN号 | 0218-1274 |
| 英文摘要 | This paper investigates the discrete-time recurrent neural networks and aims to extend the previous works with symmetric connection matrix to the asymmetric connection matrix. We provide the sufficient conditions of existence for asymptotical stability of fixed point, flip and fold bifurcations, Marotto's chaos. Besides, we state the conditions of existence for the bounded trapping region including many fixed points, and attracting set contained in bounded region and chaotic set. To demonstrate the theoretical results of the paper, several numerical examples are provided. The theorems in this paper are available more than in the previous works. |
| WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
| 语种 | 英语 |
| WOS记录号 | WOS:000241748700006 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3593]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Jing, Zhujun |
| 作者单位 | 1.Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Beihang Univ, LMIB, Beijing 100083, Peoples R China 4.Beihang Univ, Dept Math, Beijing 100083, Peoples R China 5.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhou, Zhan,Wang, Jinliang,Jing, Zhujun,et al. Complex dynamical behaviors in discrete-time recurrent neural networks with asymmetric connection matrix[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2006,16(8):2221-2233. |
| APA | Zhou, Zhan,Wang, Jinliang,Jing, Zhujun,&Wang, Ruqi.(2006).Complex dynamical behaviors in discrete-time recurrent neural networks with asymmetric connection matrix.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,16(8),2221-2233. |
| MLA | Zhou, Zhan,et al."Complex dynamical behaviors in discrete-time recurrent neural networks with asymmetric connection matrix".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 16.8(2006):2221-2233. |
入库方式： OAI收割
来源：数学与系统科学研究院
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