Complex dynamical behaviors in discrete-time recurrent neural networks with asymmetric connection matrix

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	Complex dynamical behaviors in discrete-time recurrent neural networks with asymmetric connection matrix
	Zhou, Zhan ; Wang, Jinliang ; Jing, Zhujun ; Wang, Ruqi
	2006-08-01
发表期刊	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN	0218-1274
卷号	16 期号:8 页码:2221-2233
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.
关键词	neural networks asymptotical stability bifurcations chaos attracting set trapping region
语种	英语
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000241748700006
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3594
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.